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On the bilinear square Fourier multiplier operators and related multilinear square functions

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Science China Mathematics 2017年第8期60卷 1477-1502页

作者： SI zengYan XUE QingYing yabuta kz School of Mathematics and Information Science Henan Polytechnic University School of Mathematical Sciences Beijing Normal UniversityLaboratory of Mathematics and Complex Systems Ministry of Education Research Center for Mathematical Sciences Kwansei Gakuin University

Let n 1 and Tm be the bilinear square Fourier multiplier operator associated with a symbol m,which is defined by Tm(f1, f2)(x) =(∫_0~∞︱∫_((Rn)2)e^(2πix·(ξ1+ξ2))m(tξ1, tξ2)?f1(ξ1)?f2(ξ2)dξ1dξ2︱~2(dt)/t) ^(1/2).Let s be an integer with s ∈ [n + 1, 2n] and p0 be a number satisfying 2n/s p0 2. Suppose that νω=∏_i^2=1ω_i^(p/pi) and each ω_i is a nonnegative function on Rn. In this paper, we show that under some condition on m, Tm is bounded from L^(p1)(ω_1) × L^(p2)(ω_2) to L^p(ν_ω) if p0 2n/s and p1 = p0 or p2 = p0, then Tm is bounded from L^(p1)(ω_1) × L^(p2)(ω_2) to L^(p,∞)(ν_ω). The weighted end-point L log L type estimate and strong estimate for the commutators of Tm are also given. These were done by considering the boundedness of some related multilinear square functions associated with mild regularity kernels and essentially improving some basic lemmas which have been used before.

关键词：平方函数乘子算子双线性多线性傅里叶运算符傅立叶

Multilinear Singular and Fractional Integrals

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Acta Mathematica Sinica,English Series 2006年第2期22卷 347-356页

作者： Yong DING Shan zhen LU kz yabuta School of Matematical Sciences Beijing Normal Unioversity School of Science and Technology Kwansei Gakuin University

In this paper, we treat a class of non-standard commutators with higher order remainders in the Lipschitz spaces and give （L^v, L^q）, （H^p, L^q） boundedness and the boundedness in the Triebel- Lizorkin spaces. Our... 详细信息

关键词： commutators multilinear operators singular and fractional integrals Lp spaces Hardy

Boundedness and continuity of maximal singular integrals and maximal functions on Triebel-Lizorkin spaces

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Science China Mathematics 2020年第5期63卷 907-936页

作者： Feng Liu Qingying Xue kozo yabuta College of Mathematics and Systems Science Shandong University of Science and TechnologyQingdao 266590China Laboratory of Mathematics and Complex Systems(Ministry of Education of China) School of Mathematical SciencesBeijing Normal UniversityBeijing 100875China Research Center for Mathematical Science Kwansei Gakuin UniversitySanda 669-1337Japan

In this paper,we systematically study several classes of maximal singular integrals and maximal functions with rough kernels in Fβ(S^n-1),a topic that relates to the Grafakos-Stefanov *** boundedness and continuity o... 详细信息

关键词： maximal singular integrals maximal functions Fβ(S^n-1) Triebel-Lizorkin spaces Besov spaces

Triebel-Lizorkin space boundedness of rough singular integrals associated to surfaces of revolution

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Science China Mathematics 2016年第9期59卷 1721-1736页

作者： DING Yong yabuta kozo School of Mathematical Sciences Beijing Normal University Laboratory of Mathematics and Complex Systems Ministry of Education Beijing 100875 China Research Center for Mathematical Sciences Kwansei Gakuin University Gakuen 2-1 Sanda 669-1337 Japan

We consider the boundedness of the rough singular integral operator T_(?,ψ,h) along a surface of revolution on the Triebel-Lizorkin space F~α_( p,q)(R^n) for ? ∈ H^1(^(Sn-1)) and ? ∈ Llog^+L(S^(n-1)) ∪_1 详细信息

关键词： Triebel-Lizorkin空间奇异积分算子表面有界性粗糙

Convergence of truncated rough singular integrals supported by subvarieties on Triebel-Lizorkin spaces

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Frontiers of Mathematics in China 2019年第3期14卷 591-604页

作者： Feng LIU Qingying XUE kozo yabuta College of Mathematics and Systems Science Shandong University of Science and Technology Qingdao 266590 China School of Mathematical Sciences Beijing Normal University Laboratory of Mathematics and Complex Systems Ministry of Education Beijing 100875 China Research Center for Mathematical Sciences Kwansei Gakuin University Gakuen 2-1 Sanda 669-1337 Japan

Let Ω be a function of homogeneous of degree zero and satisfy the cancellation condition on the unit sphere. Suppose that h is a radial function. Let Th,Ω,φ be the classical singular Radon transform, and let Th^ε,Ω,φ be its truncated operator with rough kernels associated to polynomial mapping which is defined by Th^ε,Ω,φf(x)=|f|y|>εf(x-φ(y))h(|y|)Ω(y)|y|^-ndy|.In this paper, we show that for any a ∈(-∞,∞) and (p, q) satisfying certain index condition, the operator Th^ε,Ω,φ enjoys the following convergence properties lim ε→0||Th^ε,Ω,φf-Th,Ω,φf||Fα^p,q(R^d)= 0 and limε→0||Th^ε,Ω,φf-Th,Ω,φf||Bα^p,q(R^d)=0, provided that Ω∈L(log+ L)β(S^n-1) for some β∈(0,1], or Ω∈H^1(S^n-1), or Ω∈(U1

关键词： Singular Radon transform truncated singular integral rough kernel convergence

Parabolic Littlewood-Paley g-Function with Rough kernel

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Acta Mathematica Sinica,English Series 2008年第12期24卷 2049-2060页

作者： Qing Ying XUE Yong DING kozo yabuta School of Mathematical Sciences Laboratory of Mathematics and Complex Systems( BNU) Ministry of Education China Beijing Normal University Beijing 100875 P. R. China School of Science and Technology Kwansei Gakuin University Gakuen 2-1 Sanda 669-1337 Japan

In this note, we give the L^p （1 〈 p 〈∞） boundedness of the parabolic Littlewood Paley g-function with rough kernel.

关键词： parabolic Littlewood-Paley g-function mixed homogeneity spaces rough kernel

Morpho-Physiological Response of Oryza glaberrima to Gradual Soil Drying

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Rice science 2020年第1期27卷 67-74页

作者： kartika kARTIkA Jun-Ichi SAkAGAMI Benyamin LAkITAN Shin yabuta Andi WIJAYA Sabaruddin kADIR Laily Ilman WIDURI Erna SIAGA Yoshihiro NAkAO Graduate School Universitas SriwijayaPalembang 30139Indonesia Faculty of Agriculture Kagoshima University1-21-24 KorimotoKagoshima 890-0065Japan Department of Agronomy College of AgricultureUniversitas SriwijayaInderalaya 30662Indonesia Research Center for Sub-optimal Lands(PUR-PLSO) Sriwijaya UniversityPalembang 30139Indonesia Department of Soil Sciences College of AgricultureUniversitas SriwijayaInderalaya 30662Indonesia The United Graduate School of Agricultural Science Kagoshima University1-21-24 KorimotoKagoshima 890-0065Japan

Soil drought occurrence during dry season has been the main constraint, besides prolonged flooding during rainy season, in increasing cropping intensity and rice productivity in tropical riparian wetland. Use of drought tolerant rice genotype might be a suitable option for overcoming such problem. This study focused on the effects of gradual soil drying during early vegetative growth stage on morphological and physiological traits of five Oryza glaberrima genotypes, namely RAM12, RAM14, RAM59, RAM97 and RAM101, and two Oryza sativa subsp japonica genotypes, i.e. koshihikari and Minamihatamochi. The plants were subjected to 6 d of gradual soil drying condition from 15 days after transplanting(DAT) to 20 DAT, and were allowed to recover until 22 DAT. Gradual soil drying reduced plant growth as indicated by dry mass accumulation. Drought reduced stomatal conductance and increased leaf rolling score of all the genotypes. All the genotypes showed comparable response on stomatal conductance, but O. glaberrima genotypes performed higher in leaf rolling recovery. Meanwhile, O. sativa genotypes decreased total leaf area and specific leaf area, but increased specific leaf weight in order to avoid further damages due to drought stress. Drought tolerance mechanisms in RAM101, RAM12, RAM59 and RAM14 were associated with leaf morpho-physiological responses, root traits and dry biomass accumulation.

关键词： drought tolerance leaf rolling root trait stomatal conductance dry matter accumulation

Determination of Vitamin B<sub>12</sub>in Chinese Black Tea Leaves

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Food and Nutrition Sciences 2014年第14期5卷 1326-1332页

作者： Fei Teng Tomohiro Bito Shigeo Takenaka Yukinori yabuta Fumio Watanabe Department of Veterinary Science Graduate School of Life and Environmental Sciences Osaka Prefecture University Osaka Japan Division of Applied Bioresources Chemistry The United Graduate School of Agricultural Sciences Tottori University Tottori Japan

We determined vitamin B12 content of Chinese black tea leaves using a microbiological assay based on Lactobacillus delbrueckii ATCC 7830. Trace levels (0.25 - 0.69 μg/100g dry weight) of vitamin B12 were detected in Pu’er, Fu, and Brick tea leaves. However, vitamin B12 content (0.06 - 1.37 μg/100g dry weight) of Ryubao tea leaves significantly varied. To determine whether Chinese black tea leaves contain vitamin B12 or other corrinoid compounds that are inactive in humans, corrinoid compounds were purified from Ryubao tea by an immunoaffinity column chromatography and vitamin B12 was identified by liquid chromatography-electrospray ionization/tandem mass spectrometry. Vitamin B12 content in the tea drink prepared from Ryubao tea leaves was very low (0.8 ng/100mL). Our results indicate that Chinese black tea is usually not a good source of B12, although Ryubao tea leaves with the highest B12 content may be utilized as a source of this vitamin for vegerarians.

关键词： Chinese Black Tea Leaves Cobalamin Ryubao Tea Vitamin B12

Occurrence of Biologically Inactive Corrinoid Compounds in Canned Edible Apple Snails (Escargots)

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Food and Nutrition Sciences 2015年第12期6卷 1071-1077页

作者： Fei Teng Yuri Tanioka Tomohiro Bito Shigeo Takenaka Yukinori yabuta Fumio Watanabe Division of Applied Bioresources Chemistry United Graduate School of Agricultural Sciences Tottori University Tottori Japan Department of Nutrition Junior College of Tokyo University of Agriculture Setagayaku Japan Department of Veterinary Science Graduate School of Life and Environmental Sciences Osaka Prefecture University Osaka Japan

In this study, we characterized and quantified vitamin B12 in canned apple snails, escargots, (boiled plain) using a microbiological assay based on Lactobacillus delbrueckii ATCC 7830. Vitamin B12 contents of canned escargots (boiled plain) were varied from approximately 0.8 μg/100g weight to approximately 5.5 μg/100g weight (mean values, 2.2 μg/100g weight). We identified vitamin B12 compounds from escargots using liquid chromatography-electrospray ionization/tandem mass spectrometry. We found that escargots contained true vitamin B12 and two inactive corrinoids, which were identified as factor IIIm (or methoxymensimidazolyl cyanocobamide), and factor S (or 2-methylmercaptoadenyl cyanocobamide). These results indicate that canned escargots (boiled plain) are not good sources of vitamin B12 for humans.

关键词： Apple Snails Escargots Canned Products Factor S Factor IIIm Vitamin B12