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Herz Spaces Meet Morrey Type Spaces and Complementary Morrey Type Spaces
Journal of Fourier Analysis and Applications, 2020We 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.
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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
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On inclusion relation between weak Morrey spaces and Morrey spaces
Nonlinear Analysis, 2018Abstract 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
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Besov‐Morrey spaces and Triebel‐Lizorkin‐Morrey spaces on domains
Mathematische Nachrichten, 2010AbstractThe 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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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.
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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.
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1991
A locally \(L^ p\) function \(f\) is said to belong to the Morrey space \(L^{p,\lambda}(\mathbb{R}^ n)\) if \[ \| f\|_{p,\lambda}^ p=\sup_{x,\rho}\rho^{ -\lambda}\int_{| x-y|\leq \rho}| f(y)|^ p ...
DI FAZIO, Giuseppe +1 more
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A locally \(L^ p\) function \(f\) is said to belong to the Morrey space \(L^{p,\lambda}(\mathbb{R}^ n)\) if \[ \| f\|_{p,\lambda}^ p=\sup_{x,\rho}\rho^{ -\lambda}\int_{| x-y|\leq \rho}| f(y)|^ p ...
DI FAZIO, Giuseppe +1 more
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A characterization of the Morrey-Campanato spaces
Mathematische Zeitschrift, 2005Let \(\varphi\) be a Schwartz function satisfying the following two conditions: (1) For a fixed \(s\in\mathbb Z^+\), \(\int_{\mathbb R^n}\varphi(x)\,dx=1\) and \(\int_{\mathbb R^n}\varphi(x)x^\theta\,dx=0\) for \(00\) such that \(\hat\Phi(t\xi)\neq0\). For \(t>0\), set \(\varphi_t(x)=t^{-n}\varphi(x/t)\).
Xuan Thinh Duong +3 more
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Besov‐Morrey spaces and Triebel‐Lizorkin‐Morrey spaces for nondoubling measures
Mathematische Nachrichten, 2009AbstractWe define Morrey type Besov‐Triebel spaces with the underlying measure non‐doubling. After defining the function spaces, we investigate boundedness property of some class of the singular integral operators (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Yoshihiro Sawano, Hitoshi Tanaka
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Generalized Morrey Spaces – Revisited
Zeitschrift für Analysis und ihre Anwendungen, 2017The generalized Morrey space {\mathcal M}_{p,\phi}({\mathbb R}^n) was defined by Mizuhara 1991 and Nakai in 1994. It is equipped with a parameter 0 < p < \infty and a function \phi:{\mathbb R}^n ...
Akbulut, Ali +3 more
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