检索结果-南通市图书馆

Hypersingular parameterized Marcinkiewicz integrals with variable kernels on sobolev and hardy-sobolev spaces

在线全文

学校读者我要写书评

暂无评论

Applied Mathematics(A Journal of Chinese Universities) 2008年第4期23卷 420-430页

作者： CHEN Jie-cheng YU Xiao ZHANG Yan-dan WANG Hui Department of Mathematics Zhejiang University Hangzhou 310027 China

Let α≥ 0 and 0 〈 ρ ≤ n/2, the boundedness of hypersingular parameterized Marcinkiewicz integrals μΩ,α^ρ with variable kernels on sobolev spaces Lα^ρ and hardysobolev spaces Hα^ρ is established.

关键词： parameterized Marcinkiewicz integral variable kernel hardy-sobolev space L^α-Dini condition

WANDERING SUBspaceS OF THE hardy-sobolev spaceS OVER D^n

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2016年第5期36卷 1467-1473页

作者：肖杰胜曹广福 Nanhu College Jiaxing University Department of Mathematics Sun Yat-sen University Department of Mathematics South China Agricultural University

In this paper, we show that for log(2/3)/2log2≤ β ≤1/2, suppose S is an invariant subspace of the hardy-sobolev spaces H_β~2(D^n) for the n-tuple of multiplication operators(M_(z_1),...,M_(z_n)). If(M_(z_1)|S,..., M_(z_n)|S) is doubly commuting, then for any non-empty subset α = {α_1,..., α_k} of {1,..., n}, W_α~S is a generating wandering subspace for M_α|_S =(M_(z_(α_1))|_S,..., M_(z_(α_k))|_S), that is, [W_α~S]_(M_(α |S))= S, where W_α~S=■(S ■ z_(α_i)S).

关键词： wandering subspace invariant subspace Beurling's theorem hardy-sobolev space doubly commuting

Wandering Subspaces and Quasi-wandering Subspaces in the hardy-sobolev spaces

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2017年第12期33卷 1684-1692页

作者： Jie Sheng XIAO Guang Fu CAO Nanhu College Jiaxing University Department of Mathematics South China Apicultural University

In this paper, we prove that for -1/2≤β≤0, suppose M is an invariant subspaces of the hardy sobolev spaces Hβ^2（D） for Tz^β, then M zM is a generating wandering subspace of M, that is, M = [M zM]Tz^β. Moreover, any non-trivial invariant subspace M of Hβ^2（D） is also generated by the quasi-wandering subspace PMTz^βM^⊥, that is, M = [PMTz^βM^⊥]Tz^β.

关键词： hardy-sobolev space invariant subspace wandering subspace quasi-wandering sub- space Beurling type theorem

Operators on sobolev Type spaces

在线全文

学校读者我要写书评

暂无评论

Communications in Mathematical Research 2023年第2期39卷 254-286页

作者： Guangfu Cao Li He School of Mathematics and Information Science Guangzhou UniversityGuangzhouGuangdong 510006P.R.China

In this paper,we introduce the work done on hardy-sobolev spaces and Fock-sobolev spaces and their operators and operator algebras,including the study of boundedness,compactness,Fredholm property,index theory,spectrum... 详细信息

关键词： hardy-sobolev space Fock-sobolev space multiplier composition operator Toeplitz operator Hankel operator