Explicit formula for the reproducing kernels for some weighted Fock spaces
type: Item
instance of: scholarly article
title: Explicit formula for the reproducing kernels for some weighted Fock spaces
zbMATH Open document ID: 1464.46024
author: Hong Rae Cho
author: Hyunil Choi
author: Han-Wool Lee
published in: Journal of Mathematical Analysis and Applications
publication date: 2021-03-04T00:00:00Z
review text: The Fock space is a significant function space in complex analysis, especially for applications in physics. The Fock space has been studied in the literature in the last decades in detail. One of the most important properties of the Fock space is its relation with reproducing kernels, an extraordinary tool that plays a key role in recent mathematics. In this paper, the authors present new weighted Fock spaces, named \(\hat{F^2}_{-\alpha}\), which are the weighted Fock spaces \(F^2_{-\alpha}\) with equivalent norms. They study the properties of the spaces \(\hat{F^2}_{-\alpha}\) and determine their reproducing kernels explicitly.
reviewed by: Saeed Hashemi Sababe
Mathematics Subject Classification ID: 46E22
zbMATH DE Number: 7317504
zbMATH Keywords: Fock spaces
zbMATH Keywords: weighted Fock spaces
zbMATH Keywords: confluent hypergeometric functions
zbMATH Keywords: reproducing kernels
MaRDI profile type: Publication
full work available at URL: j.jmaa.2020.124920
OpenAlex ID: W3118843855
cites work: Fock-Sobolev spaces of fractional order
cites work: Commuting Toeplitz operators on Fock-Sobolev spaces of negative orders
cites work: FRACTIONAL FOCK–SOBOLEV SPACES
cites work: Fock-Sobolev spaces and their Carleson measures
cites work: The integrals in Gradshteyn and Ryzhik. XXVIII: The confluent hypergeometric function and Whittaker functions
cites work: Q4275389
cites work: Q3215519
cites work: Analysis on Fock Spaces
DOI: 10.1016/J.JMAA.2020.124920
description: scientific article; zbMATH DE number 7317504