Results 221 to 230 of about 4,607,861 (260)

Herz Spaces Meet Morrey Type Spaces and Complementary Morrey Type Spaces

Journal of Fourier Analysis and Applications, 2020
We introduce local and global generalized Herz spaces. As one of the main results we show that Morrey type spaces and complementary Morrey type spaces are included into the scale of these Herz spaces. We also prove the boundedness of a class of sublinear operators in generalized Herz spaces with application to Morrey type spaces and their complementary
Humberto Rafeiro, Stefan Samko
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A note on Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces [PDF]

Acta Mathematica Sinica, English Series, 2009
In the present paper, we obtain three independent results on the Besov-Morrey spaces and the Triebel-Lizorkin-Morrey spaces. That is, we are going to obtain the characterization of local means, the boundedness of pseudo-differential operators and the characterization of the Hardy-Morrey spaces.
openaire   +1 more source

Decompositions of Besov–Morrey spaces and Triebel–Lizorkin–Morrey spaces

Mathematische Zeitschrift, 2007
The aim of this paper is to define the Besov–Morrey spaces and the Triebel– Lizorkin–Morrey spaces and to present a decomposition of functions belonging to these spaces. Our results contain an answer to the conjecture proposed by Mazzucato.
Hitoshi Tanaka, Yoshihiro Sawano
openaire   +2 more sources

Regularity for the Navier-Stokes equations with a solution in a Morrey space

, 2008
We consider conditional regularity of local weak solutions of the Navier-Stokes system. We prove that if a weak solution (u, p) ∈ Lqloc × L q/2 loc satisfies sup (x,t)∈D sup r∈(0,r0) 1 r(n+2)/q−1 Z t ...
I. Kukavica
semanticscholar   +1 more source

Morrey space techniques applied to the interior regularity problem of the Navier-Stokes equations

, 2001
The incompressible and viscous fluid motion, governed by the evolutionary Navier-Stokes equations, is studied focusing on the application of Morrey space techniques to the interior regularity problem first posed by Serrin (1962 Arch. Rational Mech. Anal. 
Zhimin Chen, W. Price
semanticscholar   +1 more source

Weighted Morrey–Herz space estimates for rough Hausdorff operator and its commutators

Journal of Pseudo-Differential Operators and Applications, 2018
In this paper, we give necessary and sufficient conditions for the boundedness of rough Hausdorff operators on Herz, Morrey and Morrey–Herz spaces with absolutely homogeneous weights.
N. Chuong, D. Duong, N. D. Duyet
semanticscholar   +1 more source

On the generalized Morrey spaces [PDF]

Siberian Mathematical Journal, 2005
We show the equivalence of some real variable characterization and wavelet characterization for the generalized Morrey spaces, using a 2n-dimensional wavelet to analyze an element in Q on ℝ n
Cui Lihong, Yang Qixiang
openaire   +1 more source

On inclusion relation between weak Morrey spaces and Morrey spaces

Nonlinear Analysis, 2018
Abstract In this paper, the size of the embedding constant from weak Morrey spaces into Morrey spaces is specified. As a by-product, the difference between weak Morrey spaces and Morrey spaces is clarified.
Hendra Gunawan, Denny Ivanal Hakim, Eiichi Nakai, Yoshihiro Sawano   +3 more
openaire   +2 more sources

Besov‐Morrey spaces and Triebel‐Lizorkin‐Morrey spaces on domains

Mathematische Nachrichten, 2010
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.
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Multipliers and Morrey Spaces

Potential Analysis, 2012
We study the pointwise multipliers from one Morrey space to another Morrey space. We give a necessary and sufficient condition to grant that the space of those multipliers is a Morrey space as well.
openaire   +2 more sources