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Title: Characterization of generalized Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces by differences (Harmonic Analysis and Nonlinear Partial Differential Equations)
Authors: Izuki, Mitsuo
Noi, Takahiro
Keywords: 42B35
Morrey space
Besov space
Triebel-Lizorkin space
ball means of differences
Issue Date: Apr-2019
Publisher: Research Institute for Mathematical Sciences, Kyoto University
Journal title: 数理解析研究所講究録別冊 = RIMS Kokyuroku Bessatsu
Volume: B74
Start page: 93
End page: 125
Abstract: In this paper, we consider the characterization of generalized Besov - Morrey spaces and generalized Triebel - Lizorkin - Morrey spaces via ball means by differences and via differences. Since Besov spaces were originally defined by using differences. In this point, it is natural to consider the characterization of Besov and Triebel - Lizorkin type spaces via differences. To obtain the characterization results, we apply the boundedness of Peetre maximal function and the characterization of these spaces by local means.
Description: "Harmonic Analysis and Nonlinear Partial Differential Equations". June 25-27, 2018. edited by Hideo Takaoka and Satoshi Masaki. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.
Rights: © 2019 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved.
Appears in Collections:B74 Harmonic Analysis and Nonlinear Partial Differential Equations

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