Toeplitz operators on weighted Besov spaces of holomorphic functions onn   the polydisk

Harutyunyan A.; Lusky W.

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Toeplitz operators on weighted Besov spaces of holomorphic functions onn the polydisk

机译：多重圆上全纯函数加权Besov空间上的Toeplitz算子

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摘要

We characterize symbols h for which the corresponding Toeplitz operators are bounded on weighted Besov spaces B (p) (omega) of holomorphic functions on the polydisk for some 1 a parts per thousand currency sign p < a.

机译：我们对符号h进行刻画，对于相应的Toeplitz运算符，将其约束在多圆盘上全纯函数的加权Besov空间B（p）（ω）上，千分之一货币符号p

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来源
《Journal of Contemporary Mathematical Analysis》 |2015年第4期|176-186|共11页
作者
Harutyunyan A.; Lusky W.;
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作者单位

Yerevan State Univ, Yerevan 375049, Armenia.;

Univ Paderborn, D-33098 Paderborn, Germany.;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Toeplitz operator; holomorphic function; weighted Besov space; polydisc;

机译：Toeplitz算符;全纯函数;加权Besov空间;多圆盘;
入库时间 2022-08-18 03:26:56

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1. Hankel and Berezin Type Operators on Weighted Besov Spaces of Holomorphic Functions on Polydisks [J] . Harutyunyan A. V., Marinescu G. Journal of Contemporary Mathematical Analysis . 2018,第2期

机译：多磁盘全纯函数加权Besov空间上的Hankel和Berezin型算子
2. A boundedness criterion for Toeplitz operators in weighted Sobolev spaces of holomorphic functions on the polydisk [J] . Shamoyan F.A. Siberian Mathematical Journal . 2012,第3期

机译：多重圆上全纯函数加权Sobolev空间中Toeplitz算子的有界准则
3. Weighted Composition Operators on Weighted Banach Spaces of Holomorphic Functions on the Unit Polydisk with Closed Range [J] . Elke Wolf Numerical Functional Analysis and Optimization . 2010,第11期

机译：封闭范围内单元多圆盘上全纯函数加权Banach空间上的加权合成算子
4. Weighted composition operators from Banach spaces of analytic functions into Bloch-type spaces [C] . Flavia Colonna, Maria Tjani Workshop on Problems and Recent Methods in Operator Theory . 2017

机译：加权组成算子从分析函数的Banach空间进入Bloch型空间
5. Hilbert spaces of holomorphic functions: Zero sets, invariant subspaces, and Toeplitz operators [D] . Chartrand, Rick Scott 1999

机译：全纯函数的希尔伯特空间：零集，不变子空间和Toeplitz运算符
6. Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents [O] . Jingshi Xu, Jinlai Zhu -1

机译：Besov和Triebel–Lizorkin空间中具有可变指数的与双线性Hörmander类相关的双线性伪微分算子的估计
7. Bounded operators on weighted spaces of holomorphic functions on the polydisk [O] . Harutyunyan, A. V. 2014

机译：关于全纯函数加权空间的有界算子多圆盘

Toeplitz operators on weighted Besov spaces of holomorphic functions onn the polydisk

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