Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Besov‐Morrey spaces and Triebel‐Lizorkin‐Morrey spaces on domains
View through CrossRef
AbstractThe purpose of this paper is to develop a theory of the Besov‐Morrey spaces and the Triebel‐Lizorkin‐Morrey spaces on domains in Rn. We consider the pointwise multiplier operator, the trace operator, the extension operator and the diffeomorphism operator. Not only to domains in Rn we extend our definition of function spaces to compact oriented Riemannian manifolds. Among the properties above, the result for the trace operator is in particular interesting, which reflects the property of the parameters p, q in the Morrey space ℳ︁pq (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Title: Besov‐Morrey spaces and Triebel‐Lizorkin‐Morrey spaces on domains
Description:
AbstractThe purpose of this paper is to develop a theory of the Besov‐Morrey spaces and the Triebel‐Lizorkin‐Morrey spaces on domains in Rn.
We consider the pointwise multiplier operator, the trace operator, the extension operator and the diffeomorphism operator.
Not only to domains in Rn we extend our definition of function spaces to compact oriented Riemannian manifolds.
Among the properties above, the result for the trace operator is in particular interesting, which reflects the property of the parameters p, q in the Morrey space ℳ︁pq (© 2010 WILEY‐VCH Verlag GmbH & Co.
KGaA, Weinheim).
Related Results
Function spaces on quantum lori
Function spaces on quantum lori
Espaces de fonctions sur les tores quantiques
Cette thèse donne une étude systématique des espaces de Sobolev, Besov et Triebel-Lizorkin sur le tore quantique. Ces ...
Some results concerning localization property of generalized Herz, Herz-type Besov spaces and Herz-type Triebel-Lizorkin spaces
Some results concerning localization property of generalized Herz, Herz-type Besov spaces and Herz-type Triebel-Lizorkin spaces
In this paper, based on generalized Herz-type function spaces $\dot{K}_{q}^{p}(\theta)$ were introduced by Y. Komori and K. Matsuoka in 2009, we define Herz-type Besov spaces $\dot...
Characterization of Herz-type Besov-Morrey and Triebel-Lizorkin-Morrey Spaces
Characterization of Herz-type Besov-Morrey and Triebel-Lizorkin-Morrey Spaces
The main goal of this article is the characterization of Herz-type Besov-Morrey spaces K˙p,qαN˙μ,rs and Triebel-Lizorkin-Morrey spaces K˙p,qαE˙μ,rs via ball means of differences, a...
Triebel–Lizorkin–Lorentz Spaces and the Navier–Stokes Equations
Triebel–Lizorkin–Lorentz Spaces and the Navier–Stokes Equations
We derive basic properties of Triebel–Lizorkin–Lorentz spaces important in the treatment of PDE. For instance, we prove Triebel–Lizorkin–Lorentz spaces to be of class
...
Besov‐Morrey spaces and Triebel‐Lizorkin‐Morrey spaces for nondoubling measures
Besov‐Morrey spaces and Triebel‐Lizorkin‐Morrey spaces for nondoubling measures
AbstractWe define Morrey type Besov‐Triebel spaces with the underlying measure non‐doubling. After defining the function spaces, we investigate boundedness property of some class o...
A Touch of Space Weather - Outreach project for visually impaired students
A Touch of Space Weather - Outreach project for visually impaired students
<p><em><span data-preserver-spaces="true">'A Touch of Space Weather' is a project that brings space weather science into...
Compactness of Commutators for Riesz Potential on Local Morrey-type spaces
Compactness of Commutators for Riesz Potential on Local Morrey-type spaces
The paper considers Morrey-type local spaces from LMpθw The main work is the proof of the commutator compactness theorem for the Riesz potential [b,Iα] in local Morrey-type spaces ...
Spaces of Pointwise Multipliers on Morrey Spaces and Weak Morrey Spaces
Spaces of Pointwise Multipliers on Morrey Spaces and Weak Morrey Spaces
The spaces of pointwise multipliers on Morrey spaces are described in terms of Morrey spaces, their preduals, and vector-valued Morrey spaces introduced by Ho. This paper covers we...