On Operators with Complex Gaussian Kernels over Lp Spaces

被引：2

作者：

Gonzalez, B. J. ^{[1
]}

Negrin, E. R. ^{[1
]}

机构：

[1] ULL, Dept Anal Matemat, Fac Ciencias, Campus Anchieta, ES-38271 San Cristobal la Laguna, Tenerife, Spain

来源：

FILOMAT | 2019年 / 33卷 / 09期

关键词：

Complex Gaussian kernels; L-p-Inequalities; Parseval-type relations; Gauss-Weierstrass semigroup; BOUNDEDNESS PROPERTIES; INTEGRAL-OPERATORS; TRANSFORMS;

D O I：

10.2298/FIL1909861G

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study new L-p-boundedness properties and Parseval-type relations concerning the operators with complex Gaussian kernels over the spaces L-p(R, w(x)dx), 1 <= p <= infinity, where w represents any function greater than or equal to one almost everywhere on R. Here, the Gauss-Weierstrass semigroup is considered as a particular case of this analysis.

引用

页码：2861 / 2866

页数：6

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