An Equivalent Norm of Besov–Morrey Spaces in Terms of Chemin–Lerner Spaces

Yoshihiro Sawano; Taiki Takeuchi

doi:10.1002/mma.11045

An Equivalent Norm of Besov–Morrey Spaces in Terms of Chemin–Lerner Spaces

Yoshihiro Sawano, Taiki Takeuchi

Division of Advanced Mathematics Technology

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

Abstract

A characterization of homogeneous Besov–Morrey spaces is obtained in terms of Chemin–Lerner spaces. The goal of this paper is to obtain an equivalent expression to Besov–Morrey norms by the use of the heat semigroup. Some comparisons with existing results will be given and some known results are refined in the latter half of this article.

Original language	English
Journal	Mathematical Methods in the Applied Sciences
DOIs	https://doi.org/10.1002/mma.11045
Publication status	Accepted/In press - 2025

All Science Journal Classification (ASJC) codes

General Mathematics
General Engineering

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10.1002/mma.11045

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title = "An Equivalent Norm of Besov–Morrey Spaces in Terms of Chemin–Lerner Spaces",

abstract = "A characterization of homogeneous Besov–Morrey spaces is obtained in terms of Chemin–Lerner spaces. The goal of this paper is to obtain an equivalent expression to Besov–Morrey norms by the use of the heat semigroup. Some comparisons with existing results will be given and some known results are refined in the latter half of this article.",

keywords = "Besov–Morrey spaces, Chemin–Lerner spaces, Lorentz spaces, heat kernels",

author = "Yoshihiro Sawano and Taiki Takeuchi",

note = "Publisher Copyright: {\textcopyright} 2025 John Wiley \& Sons Ltd.",

year = "2025",

doi = "10.1002/mma.11045",

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AU - Sawano, Yoshihiro

AU - Takeuchi, Taiki

PY - 2025

Y1 - 2025

N2 - A characterization of homogeneous Besov–Morrey spaces is obtained in terms of Chemin–Lerner spaces. The goal of this paper is to obtain an equivalent expression to Besov–Morrey norms by the use of the heat semigroup. Some comparisons with existing results will be given and some known results are refined in the latter half of this article.

AB - A characterization of homogeneous Besov–Morrey spaces is obtained in terms of Chemin–Lerner spaces. The goal of this paper is to obtain an equivalent expression to Besov–Morrey norms by the use of the heat semigroup. Some comparisons with existing results will be given and some known results are refined in the latter half of this article.

KW - Besov–Morrey spaces

KW - Chemin–Lerner spaces

KW - Lorentz spaces

KW - heat kernels

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DO - 10.1002/mma.11045

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SN - 0170-4214

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

ER -

An Equivalent Norm of Besov–Morrey Spaces in Terms of Chemin–Lerner Spaces

Abstract

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