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Besov‐Morrey spaces and Triebel‐Lizorkin‐Morrey spaces for nondoubling measures

Mathematische Nachrichten, 2009
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 of the singular integral operators (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Yoshihiro Sawano, Hitoshi Tanaka
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Commutators and Morrey spaces

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 characterization of the Morrey-Campanato spaces

Mathematische Zeitschrift, 2005
Let \(\varphi\) 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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Generalized Morrey Spaces – Revisited

Zeitschrift für Analysis und ihre Anwendungen, 2017
The 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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Embeddings for Morrey–Lorentz Spaces

Journal of Optimization Theory and Applications, 2012
In this paper, new classes of functions are defined. These spaces generalize Lorentz spaces and give a refinement of Lebesgue spaces, weak-Lebesgue spaces, and Morrey spaces. Some embeddings between these new classes are also proved.
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Interpolation of Morrey Spaces

2015
Now we turn our attention to interpolation of linear operators on Morrey spaces, say $$\displaystyle{ T: L^{p,\lambda }\longrightarrow L^{q,\mu } }$$ for various p, q, λ, and μ; 1 < p, q < ∞, 0 < λ, μ < n.
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Approximations in Morrey spaces

2020
Giuseppe Di Fazio   +2 more
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