Boundedness of Differential Transforms for Heat Semigroups Generated by Schrodinger Operators

Chao Zhang; Torrea Jose L.

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Boundedness of Differential Transforms for Heat Semigroups Generated by Schrodinger Operators

机译：Schrodinger运算符产生的热半群的差异变换的界限

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摘要

In this paper we analyze the convergence of the following type of series

机译：本文分析了下列类型级数的收敛性

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来源
《Canadian Journal of Mathematics》 |2021年第3期|共34页
作者
Chao Zhang; Torrea Jose L.;
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作者单位

Zhejiang Gongshang Univ Sch Stat &

Math Hangzhou 310018 Peoples R China;

Univ Autonoma Madrid Fac Ciencias Dept Matemat Madrid 28049 Spain;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
differential transform; heat semigroup; Schrodinger operator; Laplacian;

机译：差异变换;热半群;薛定林运营商;拉普拉斯;

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1. BOUNDEDNESS OF VARIATION OPERATORS ASSOCIATED WITH THE HEAT SEMIGROUP GENERATED BY HIGH ORDER SCHR(O)DINGER TYPE OPERATORS [J] . Suying LIU, Chao ZHANG 数学物理学报（英文版） . 2020,第005期
2. Weighted Boundedness of Multilinear Operators Associated to Riesz Transforms of Schrodinger Operator for the Extreme Cases [J] . Lanzhe Liu Journal of pseudo-differential operators and applications . 2013,第3期

机译：极端情况下与薛定inger算子的Riesz变换相关的多线性算子的加权有界性
3. Boundedness of oscillation and variation of semigroups associated with Bessel Schrodinger operators [J] . Betancor Jorge J., Hu Wenting, Wu Huoxiong, Nonlinear Analysis: An International Multidisciplinary Journal . 2021,第1期

机译：与Bessel Schrodinger运算符相关的振荡和半群变异的界限
4. On Partial Uniform Boundedness of a Semigroup Generated by a Perturbed Oseen Operator in an Exterior Domain [J] . JIRI NEUSTUPA WSEAS Transactions on Mathematics . 2006,第4期

机译：外部域中摄动Oseen算子生成的半群的部分一致有界性
5. Weighted Boundedness of Commutators of Riesz Transforms Associated with Schrodinger Operator [C] . Wenhua GAO, Wei ZHOU International Conference on Civil Engineering and Transportation . 2013

机译：与Schrodinger运算符相关的RIESZ变换换向器的加权界限
6. Resolvent Estimates and Semigroup Expansions for Non-self-adjoint Schrodinger Operators [D] . Bellis, Ben 2018

机译：非自伴薛定inger算子的溶剂估计和半群展开
7. On the equivalence between the boundedness of certain classes of maximal and multiplier operators in Fourier analysis [O] . A. Cordoba, R. Fefferman 1977

机译：傅里叶分析中某些类别的极大和乘算子的有界性的等价性
8. An Estimate on the Heat Kernel of Magnetic Schrodinger Operators and Uniformly Elliptic Operators with Non-negative Potentials (Harmonic Analysis and Nonlinear Partial Differential Equations) [O] . Kurata Kazuhiro 1999

机译：具有非负电位的电磁薛定rod算子和一致椭圆算子的热核估计（调和分析和非线性偏微分方程）
9. C(Sub)O-Semigroups Generated by Diferential Operators Satisfying Ventcel's Boundary Conditions [R] . Clement, P., Timmermans, C. A. 1985

机译：差异算子生成的C（sub）O-半群满足Ventcel的边界条件

Boundedness of Differential Transforms for Heat Semigroups Generated by Schrodinger Operators

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