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Triebel–Lizorkin–Morrey spaces and differences

Mathematische Nachrichten, 2022
We study the Triebel–Lizorkin–Morrey spaces Eu,p,qs(Rd)$\mathcal {E}^{s}_{u,p,q}\big ({\mathbb {R}}^d\big )$ and prove that under certain sufficient conditions on the parameters these spaces can be characterised in terms of higher‐order differences ...
Marc Hovemann
semanticscholar   +1 more source

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
openaire   +3 more sources

A note on Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces [PDF]

open access: possibleActa 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

TILING MORREY SPACES AND WEIGHTED MORREY SPACES

International Conference on Modern Problems of Mathematics, Mechanics and their Applications
. We consider the boundedness property of the operator on weighted Morrey spaces. It is still an open problem to have a complete Muckenhoupt type characterization for Morrey spaces.
Yoshihiro Sawano
semanticscholar   +1 more source

On the generalized Morrey spaces [PDF]

open access: possibleSiberian 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

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.
openaire   +2 more sources

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   +3 more
openaire   +2 more sources

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

Bourgain–Morrey spaces meet structure of Triebel–Lizorkin spaces

Mathematische Zeitschrift, 2023
Pingxu Hu, Yinqin Li, Dachun Yang
semanticscholar   +1 more source

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