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
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
收藏
页码:2861 / 2866
页数:6
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