Pointwise multiplication by the characteristic function of the half-space on anisotropic vector-valued function spaces

Nick Lindemulder

doi:10.1016/j.indag.2022.03.002

Pointwise multiplication by the characteristic function of the half-space on anisotropic vector-valued function spaces

Nick Lindemulder

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Abstract

We study the pointwise multiplier property of the characteristic function of the half-space on weighted mixed-norm anisotropic vector-valued function spaces of Bessel potential and Triebel–Lizorkin type.

Original language	English
Pages (from-to)	885-904
Number of pages	20
Journal	Indagationes Mathematicae
Volume	33
Issue number	4
DOIs	https://doi.org/10.1016/j.indag.2022.03.002
Publication status	Published - 2022

Bibliographical note

Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Keywords

Anisotropic
Banach space-valued
Bessel potential
Intersection representation
Mixed-norm
Pointwise multiplier
Triebel–Lizorkin

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10.1016/j.indag.2022.03.002

1-s2.0-S0019357722000209-mainFinal published version, 425 KB

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KW - Banach space-valued

KW - Bessel potential

KW - Intersection representation

KW - Mixed-norm

KW - Pointwise multiplier

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Pointwise multiplication by the characteristic function of the half-space on anisotropic vector-valued function spaces

Abstract

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Keywords

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