Besov spaces generated by the Neumann Laplacian

Koichi Taniguchi

doi:10.1007/s40879-018-0224-2

Besov spaces generated by the Neumann Laplacian

Koichi Taniguchi

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We give a definition of Besov spaces generated by the Neumann Laplacian and study their fundamental properties. As a by-product of these results, the fractional Leibniz rule in these Besov spaces is obtained.

Original language	English
Pages (from-to)	1521-1548
Number of pages	28
Journal	European Journal of Mathematics
Volume	4
Issue number	4
DOIs	https://doi.org/10.1007/s40879-018-0224-2
Publication status	Published - 2018 Dec 1
Externally published	Yes

Keywords

Besov spaces
Bilinear estimates
Neumann Laplacian
Spectral multipliers

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s40879-018-0224-2

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title = "Besov spaces generated by the Neumann Laplacian",

abstract = "We give a definition of Besov spaces generated by the Neumann Laplacian and study their fundamental properties. As a by-product of these results, the fractional Leibniz rule in these Besov spaces is obtained.",

keywords = "Besov spaces, Bilinear estimates, Neumann Laplacian, Spectral multipliers",

author = "Koichi Taniguchi",

note = "Publisher Copyright: {\textcopyright} 2018, Springer International Publishing AG, part of Springer Nature.",

year = "2018",

month = dec,

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doi = "10.1007/s40879-018-0224-2",

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KW - Bilinear estimates

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KW - Spectral multipliers

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Besov spaces generated by the Neumann Laplacian

Abstract

Keywords

ASJC Scopus subject areas

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