检索结果-南通市图书馆

Embeddings of generalised Morrey smoothness spaces

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2024年

作者： dorothee d.haroske Zhen LIU Susana d.MOURA Leszek SKRZYPCZAK Institute of Mathematics Friedrich Schiller University Jena Faculty of Mathematics & Computer Science Adam Mickiewicz University ul.Uniwersytetu Poznańskiego 4 University of Coimbra Department of MathematicsCMUC

We study embeddings between generalised Triebel-Lizorkin-Morrey spaces εφ,p,qs(Rd) and within the scales of further generalised Morrey smoothness spaces like Nφ,p,qs(Rd),Bp,qs,φ(Rd) and Fp,qs,φ(Rd).The latter have been investigated in a recent paper by the first two authors(2023),while the embeddings of the scale Nφ,p,qs(Rd) were mainly obtained in a paper of the first and last two authors(2022).Now we concentrate on the characterisation of the spaces εφ,p,qs(Rd).Our approach requires a wavelet characterisation of those spaces which we establish for the system of daubechies’ *** we prove necessary and sufficient conditions for the embedding εφ1,p1,q1s1(Rd)→εφ2,p2,q2s2(Rd).We can also provide some almost final answer to the question when εφ,p,qs(Rd) is embedded into C(Rd),complementing our recent findings in case of Nφ,p,qs(Rd).

关键词：

Morrey smoothness spaces:A new approach

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Science China Mathematics 2023年第6期66卷 1301-1358页

作者： dorothee d.haroske Hans Triebel Institute of Mathematics Faculty of Mathematics and Computer ScienceFriedrich Schiller University JenaJena 07743Germany

In the recent years,the so-called Morrey smoothness spaces attracted a lot of *** can(also)be understood as generalisations of the classical spaces A_(p,q)^(s)(R^(n))with A∈{B,F}in R^(n),where the parameters satisfy s∈R(smoothness),0d 0dditional parameters are *** our opinion,among the various approaches at least two scales enjoy special attention,also in view of applications:the scales A_(p,q)^(s)(R^(n))with A∈{N,E}and u≥p,and A_(p,q)^(s),τ(R^(n))with A∈{B,F}andτ≥*** reorganise these two prominent types of Morrey smoothness spaces by adding to(s,p,q)the so-called slope parameter e,preferably(but not exclusively)with-n ed min(|e|,1)replaces 1 in slopes of(broken)lines in the(1/p,s)-diagram characterising distinguished properties of the spaces A_(p,q)^(s)(R^(n))and their Morrey *** attention will be paid to low-slope spaces with-1ding properties are quite often independent of n∈*** aim is *** the one hand,we reformulate some assertions already available in the literature(many of which are quite recent).On the other hand,we establish on this basis new properties,a few of which become visible only in the context of the offered new approach,governed,now,by the four parameters(s,p,q,e).

关键词： Morrey space smoothness space of Morrey type Besov-Morrey space Triebel-Lizorkin-Morrey space Besov-type space Triebel-Lizorkin-type space

Some Specific Unboundedness Property in Smoothness Morrey Spaces. The Non-existence of Growth Envelopes in the Subcritical Case

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2016年第2期32卷 137-152页

作者： dorothee d.haroske Susana d.MOURA Institute of Mathematics Priedrich-Schiller-University Jena CMUC Department of MathematicsUniversity of Coimbra

Abstract We study smoothness spaces of Morrey type on Rn and characterise in detail those situa s,r n s n tions when such spaces of type Ap,q^s,r（Rn ） or A u^sp,q（R ） are not embedded into L∞（R^n）. We can show that in the so-called sub-critical, proper Morrey case their growth envelope function is always infinite which is a much stronger assertion. The same applies for the Morrey spaces Mu,p（Rn） with p 〈 u. This is the first result in this direction and essentially contributes to a better understanding of the structure of the above spaces.

关键词： Besov-type space Morrey space Besov-Morrey space Triebel-Lizorkin-Morrey space,growth envelope atomic decomposition

A Survey on Some Anisotropic Hardy-Type Function Spaces

在线全文

学校读者我要写书评

暂无评论

Analysis in Theory and Applications 2020年第4期36卷 373-456页

作者： Jun Liu dorothee d.haroske dachun Yang School of Mathematics China University of Mining and TechnologyXuzhouJiangsu 221116China Institute of Mathematics Friedrich Schiller University JenaJena 07737Germany Laboratory of Mathematics and Complex Systems(Ministry of Education of China) School of Mathematical SciencesBeijing Normal UniversityBeijing 100875China

Let A be a general expansive matrix on *** aims of this article are *** first one is to give a survey on the recent developments of anisotropic Hardy-type function spaces on Rn,including anisotropic Hardy–Lorentz spaces,anisotropic variable Hardy spaces and anisotropic variable Hardy–Lorentz spaces as well as anisotropic Musielak–Orlicz Hardy *** second one is to correct some errors and seal some gaps existing in the known *** unsolved problems are also presented.

关键词： Expansive matrix (variable)Hardy space (variable)Hardy–Lorentz space Musielak–Orlicz Hardy space.

Phase separation of GRP7 facilitated by FERONIAmediated phosphorylation inhibits mRNA translation to modulate plant temperature resilience

在线全文

学校读者我要写书评

暂无评论

Molecular Plant 2024年第3期17卷 460-477页

作者： Fan Xu Long Wang Yingbin Li Junfeng Shi dorothee Staiger Feng Yu state Key Laboratory of Chemo/Biosensing and Chemometrics College of Biologyand Hunan Key Laboratory of Plant Functional Genomics and Developmental RegulationHunanUniversityChangsha 410082P.R.China State Key Laboratory of Hybrid Rice Hunan Agricultural Biotechnology Research InstituteHunan Academy of Agricultural SciencesChangsha 410125P.R.China RNA Biology and Molecular Physiology Faculty of BiologyBielefeld University33615 BielefeldGermany

Changes in ambient temperature profoundly affect plant growth and ***,the molecu-larbasis of plant acclimation to temperature fluctuation is of great *** this study,we discovered that GLYCINE-RICH RNA-BINdING PROTEIN 7(GRP7)contributes to cold and heat tolerance in Arabidopsis *** found that exposure to a warm temperature rapidly induces GRP7 condensates in planta,which can be reversed by transfer to a lower *** biology and biochemical assays revealed that GRP7 undergoes liquid-liquid phase separation(LLPS)in vivo and in *** of GRP7 in the cyto-plasm contributes to the formation of stress granules that recruit RNA,along with the translation machinery component eukaryotic initiation factor 4E1(elF4E1)and the mRNA chaperones COLd SHOCK PROTEIN 1(CSP1)and CSP3,to inhibit ***,natural variations in GRP7 affecting the residue phos-phorylated by the receptorkinase FERONIA alter its capacity to undergo LLPS and correlate with the adap-tation of some Arabidopsis accessions to a widertemperature *** together,ourfindings illustrate the role of translational control mediated by GRP7 LLPS to confer plants with temperature resilience.

关键词： fluctuating temperature glycine-rich RNA-binding protein phase separation cold shock proteins translation

Continuous Embeddings of Besov-Morrey Function Spaces

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2012年第7期28卷 1307-1328页

作者： dorothee d. haroske Leszek SKRZYPCZAK Mathematical Institute Friedrich-Schiller-University Jena Faculty of Mathematics and Computer Science Adam Mickiewicz University

We study embeddings of spaces of Besov-Morrey type, MB p1^s1 q1^r1（R^d）→MB p2^s2 q2^r2（R^d） and obtain necessary and sufficient conditions for this. Moreover, we can also charaeterise the special weighted situation Bp1^s1 （R^d ,w）→MB p2^s2 q2^r2（R^d） for a Muekenhoupt A∞ weight w, with wα（x） = ｜x｜^a, 〉 -d, as a typical example.

关键词： Weighted Besov spaces Besov Morrey spaces continuous embeddings

Unboundedness properties of smoothness Morrey spaces of regular distributions on domains

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2017年第12期60卷 2349-2376页

作者： haroske dorothee d. MOURA Susana d. SCHNEIdER Cornelia SKRZYPCZAK Leszek Institute of Mathematics Friedrich Schiller University Jena CMUC Department of Mathematics University of Coimbra Mathematics department Friedrich-Alexander University Erlangen-Nremberg Faculty of Mathematics and Computer Science Adam Mickiewicz University

We study unboundedness of smoothness Morrey spaces on bounded domains ? ? R^n in terms of growth envelopes. It turns out that in this situation the growth envelope function is finite—in contrast to the results obtained by haroske et al.(2016) for corresponding spaces defined on R^n. A similar effect was already observed by haroske et al.(2017), where classical Morrey spaces M_(u,p)(?) were investigated. We deal with all cases where the concept is reasonable and also include the tricky limiting cases. Our results can be reformulated in terms of optimal embeddings into the scale of Lorentz spaces L_(p,q)(?).

关键词： Morrey spaces Besov spaces Triebel-Lizorkin spaces growth envelopes atomic decompositions inequalities

Protective and Regenerative Anti-Pollution Efficacy of a Plant Oil-Based day and Night Cream: Investigated by a Novel Approach to Reveal the Impact of Pollutants on Epidermal Barrier Integrity and Lipid Matrix

在线全文

学校读者我要写书评

暂无评论

Journal of Cosmetics, dermatological Sciences and Applications 2023年第4期13卷 302-321页

作者： dorothee dähnhardt Stephan dähnhardt-Pfeiffer Isabel Simon dana ditgen Inge Holland dörte Segger Jürgen Blaak Peter Staib Microscopy Services dä hnhardt GmbH Flintbek Germany Research & development and Regulatory Affairs Kneipp GmbH Wuerzburg Germany SGS INSTITUT FRESENIUS GmbH Hamburg Germany

In the wake of ever-increasing environmental pollution, human skin in the modern urban world is exposed to increased levels of harmful environmental pollutants. Many studies have shown that these pollutants can weaken the epidermal skin barrier and thus facilitate the penetration of these substances into the skin. An important goal of modern skin care against harmful environmental influences should therefore be to protect and strengthen the epidermal barrier and to repair occurring damage quickly and efficiently. With this in mind, in the present study we investigated what damage cigarette smoke causes to the epidermal barrier and 1) whether the regular application of a O/W emulsion (day Cream) can protectively strengthen the epidermal barrier against environmental damage and 2) whether a cigarette smoke-induced disruption of the epidermal barrier is restored faster and better by the regular application of a another O/W emulsion (Night Cream) than in product-untreated skin. The two products are slightly different in plant-oil, active ingredient composition and texture. Firstly, the study has shown that the Lipbarvis? method is suitable for measuring the effect of cigarette smoke, in contrast to conventional biophysical measurement methods (transepidermal water loss, skin hydration). Secondly, both products were able to improve skin barrier function in the corresponding test scenario. This was demonstrated for both test products by a significantly reduced TEWL, significantly increased skin hydration and significantly improved length of the lipid lamellae in the intercellular space, as well as the protective effect of the day cream on the epidermal skin barrier and the regenerative properties of the tested night cream. .

关键词： Skin Care Anti-Pollution Skin Barrier Intercellular Lipid Lamellae Cigarette Smoke

A New Set of Reversibly Photoswitchable Fluorescent Proteins for Use in Transgenic Plants

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Molecular Plant 2013年第5期6卷 1518-1530页

作者： Martina Lummer Fabian Humpert Matthias Wiedenubbert Markus Sauer Mark Schuttpelz dorothee Staiger Molecular Cell Physiology Bielefeld University Universitatsstr. 25 33615 Bielefeld Germany Institute for Genome Research and Systems Biology CeBiTec 33615 Bielefeld Germany Biomolecular Photonics Bielefeld University Universitatsstr. 25 33615 Bielefeld Germany Biotechnology and Biophysics Julius-Maximilians-University Wurzburg Am Hubland 97074 Wurzburg Germany

Fluorescent reporter proteins that allow repeated switching between a fluorescent and a non-fluorescent state in response to specific wavelengths of light are novel tools for monitoring of protein trafficking and super-resolu- tion fluorescence microscopy in living organisms. Here, we describe variants of the reversibly photoswitchable fluores- cent proteins rsFastLime, bsdronpa, and Padron that have been codon-optimized for the use in transgenic Arabidopsis plants. The synthetic proteins, designated rsFastLIME-s, bsdRONPA-s, and PAdRON C-s, showed photophysical properties and switching behavior comparable to those reported for the original proteins. By combining the ＇positively switchable＇ PAdRON C-s with the ＇negatively switchable＇ rsFastLIME-s or bsdRONPA-s, two different fluorescent reporter proteins could be imaged at the same wavelength upon transient expression in Nicotiana benthamiana cells. Thus, co-localiza- tion analysis can be performed using only a single detection channel. Furthermore, the proteins were used to tag the RNA-binding protein AtGRP7 （Arabidopsis thaliana glycine-rich RNA-binding protein 7） in transgenic Arabidopsis plants. Because the new reversibly photoswitchable fluorescent proteins show an increase in signal strength during each pho- toactivation cycle, we were able to generate a large number of scans of the same region and reconstruct 3-d images of AtGRP7 expression in the root tip. Upon photoactivation of the AtGRP7：rsFastLIME-s fusion protein in a defined region of a transgenic Arabidopsis root, spreading of the fluorescence signal into adjacent regions was observed, indicating that movement from cell to cell can be monitored. Our results demonstrate that rsFastLIME-s, bsdRONPA-s, and PAdRON C-s are versatile fluorescent markers in plants, Furthermore, the proteins also show strong fluorescence in mammalian cells including COS-7 and HeLa cells.

关键词： reversibly photoswitchable fluorescent protein codon usage Arabidopsis rsFastLIME-s bsdRONPA-s PAdRON-s.