Lebesgue Spaces and Operators with Complex Gaussian Kernels

This paper examines the boundedness properties and Parseval-type relations for operators with complex Gaussian kernels over Lebesgue spaces. Furthermore, this study includes an exploration of the Gauss–Weierstrass semigroup, serving as a particular example within the framework of our analysis.

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Publication Details

Journal
Mathematics
Published
2024-09-26
DOI
https://doi.org/10.3390/math12193001
Primary Topic
Mathematical Analysis and Transform Methods
Type
article
Field-Weighted Citation Impact
0.00
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article

Lebesgue Spaces and Operators with Complex Gaussian Kernels

Jeetendrasingh Maan, E. R. Negrín, B. J. González
Mathematics
Mathematical Analysis and Transform Methods
article

Lebesgue Spaces and Operators with Complex Gaussian Kernels

Jeetendrasingh Maan, E. R. Negrín, B. J. González
article en

Abstract

This paper examines the boundedness properties and Parseval-type relations for operators with complex Gaussian kernels over Lebesgue spaces. Furthermore, this study includes an exploration of the Gauss–Weierstrass semigroup, serving as a particular example within the framework of our analysis.

MathematicsVol. 12(19)
Universidad de La Laguna (ES), National Institute of Technology Hamirpur (BD)
Openalex Percentile: Top 72%
Mathematical Analysis and Transform Methods
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