\(H\)-distributions with unbounded multipliers
type: Item
instance of: scholarly article
title: \(H\)-distributions with unbounded multipliers
zbMATH Open document ID: 1408.46042
author: J. Aleksić
author: Stevan Pilipović
author: Ivana Vojnović
published in: Journal of Pseudo-Differential Operators and Applications
publication date: 2018-09-19T00:00:00Z
review text: The aim of the paper is to investigate \(H\)-distributions for weakly convergent sequences in certain dual pairs of Bessel potential spaces using unbounded multipliers, with finite regularity, as test functions. As a key step, the authors previously discussed the compactness, on appropriate Bessel potential spaces, of the commutator between a multiplication operator and a Fourier multiplier with unbounded symbol of finite regularity [Mediterr. J. Math. 13, No. 5, 3499--3512 (2016; Zbl 1367.46035)]. The obtained results are used to discuss the strong convergence of sequences of approximated solutions of a certain class of differential equations.
reviewed by: Antonio Galbis
Mathematics Subject Classification ID: 46F25
Mathematics Subject Classification ID: 47G30
Mathematics Subject Classification ID: 46F12
Mathematics Subject Classification ID: 42B15
zbMATH DE Number: 6939199
zbMATH Keywords: \(H\)-distributions
zbMATH Keywords: weak convergence
zbMATH Keywords: strong convergence
zbMATH Keywords: Bessel potential spaces
zbMATH Keywords: multipliers
MaRDI profile type: Publication
full work available at URL: s11868-017-0200-5
OpenAlex ID: W2595136082
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DOI: 10.1007/S11868-017-0200-5
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description: scientific article; zbMATH DE number 6939199