The boundedness of bilinear Fourier multiplier operators in Besov spaces with variable exponents
type: Item
instance of: scholarly article
title: The boundedness of bilinear Fourier multiplier operators in Besov spaces with variable exponents
zbMATH Open document ID: 1488.42061
published in: Acta Mathematica Hungarica
publication date: 2021-08-03T00:00:00Z
review text: In this paper the author proves boundedness of bilinear Fourier multiplier operator \(T(f,g)\) from \(B^{s(\cdot)}_{p_{1}(\cdot),q(\cdot)}(\mathbb{R}^n) \times B^{s(\cdot)}_{p_{2}(\cdot), q(\cdot)}(\mathbb{R}^n)\) to \(B^{s(\cdot)}_{p(\cdot),q(\cdot)}(\mathbb{R}^n)\) where \(\frac{1}{p_{1}(\cdot)}+\frac{1}{p_{2}(\cdot)}=\frac{1}{p(\cdot)}\) and \(s(\cdot) \in L^{\infty}(\mathbb{R}^n)\) is locally log-Hölder continuous.
Mathematics Subject Classification ID: 42B15
Mathematics Subject Classification ID: 42B35
zbMATH DE Number: 7377602
zbMATH Keywords: variable exponent
zbMATH Keywords: bilinear Fourier multiplier operator
zbMATH Keywords: Besov space
author: Yin Liu
reviewed by: Koichi Saka
MaRDI profile type: Publication
full work available at URL: s10474-021-01145-7
OpenAlex ID: W3171502458
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DOI: 10.1007/S10474-021-01145-7
description: scientific article; zbMATH DE number 7377602