Wavelet decomposition and embeddings of generalised Besov-Morrey spaces

被引：6

作者：

Haroske, Dorothee D. ^{[1
]}

Moura, Susana D. ^{[2
]}

Skrzypczak, Leszek ^{[3
]}

机构：

[1] Friedrich Schiller Univ Jena, Inst Math, D-07737 Jena, Germany

[2] Univ Coimbra, Dept Math, EC Santa Cruz, CMUC, P-3001501 Coimbra, Portugal

[3] Adam Mickiewicz Univ, Fac Math & Comp Sci, Ul Uniwersytetu Poznanskiego 4, PL-61614 Poznan, Poland

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2022年 / 214卷

关键词：

Besov-Morrey spaces; Generalised Morrey spaces; Embeddings; Wavelet decompositions; INTEGRAL-OPERATORS; EQUATIONS;

D O I：

10.1016/j.na.2021.112590

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study embeddings between generalised Besov-Morrey spaces Ns phi,p,q(Rd). Both sufficient and necessary conditions for the embeddings are proved. Embeddings of the Besov-Morrey spaces into the Lebesgue spaces Lr(Rd) are also considered. Our approach requires a wavelet characterisation of the spaces which we establish for the system of Daubechies wavelets. (c) 2021 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

引用

页数：26

共 50 条

[41] Local and global solvability for Keller-Segel system in Besov-Morrey spaces
Nogayama, Toru
Sawano, Yoshihiro
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 516 (01)
[42] On analyticity rate estimates to the magneto-hydrodynamic equations in Besov-Morrey spaces
Minghua Yang
Boundary Value Problems, 2015
[43] BESOV-MORREY SPACES ASSOCIATED WITH HERMITE OPERATORS AND APPLICATIONS TO FRACTIONAL HERMITE EQUATIONS
Nguyen Anh Dao
Nguyen Ngoc Trong
Le Xuan Truong
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
[44] Existence of solutions for time fractional semilinear parabolic equations in Besov-Morrey spaces
Oka, Yusuke
Zhanpeisov, Erbol
JOURNAL OF EVOLUTION EQUATIONS, 2024, 24 (04)
[45] Existence and large time behavior to the nematic liquid crystal equations in Besov-Morrey spaces
Qin, Guoquan
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 486 (10)
[46] Decomposition for Morrey type Besov-Triebel spaces
Wang, Henggeng
MATHEMATISCHE NACHRICHTEN, 2009, 282 (05) : 774 - 787
[47] Besov-Morrey spaces: Function space theory and applications to non-linear PDE
Mazzucato, AL
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 355 (04) : 1297 - 1364
[48] The well-posedness of the surface quasi-geostrophic equations in the Besov-Morrey spaces
Xu, Jiang
Tan, Yanfei
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2013, 92 : 60 - 71
[49] Aggregation equations with gradient potential as Radon measure and initial data in Besov-Morrey spaces
Suleiman, Marta L.
Precioso, Juliana C.
Prokopczyk, Andrea C.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (09) : 6103 - 6116
[50] Existence and symmetries of solutions in Besov-Morrey spaces for a semilinear heat-wave type equation
de Almeida, Marcelo F.
Precioso, Juliana C. P.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 432 (01) : 338 - 355

← 1 2 3 4 5 →