Morrey spaces - Open Access .click

Potential Analysis, 2012
The author gives a necessary and sufficient condition of pointwise multipliers between Morrey spaces. The Morrey space \(\dot{M}^{p,q}=\dot{M}^{p,q}(\mathbb{R}^d)\) is defined by \[ \sup_{Q \in \mathcal{Q}}R_{Q}^{d/q-d/p}\biggl(\int_{Q}|f(x)|^p \;dx \biggr)^{1/p}< \infty \] with the norm \(||f||_{\dot{M}^{p,q}}=\sup_{Q \in \mathcal{Q}}R_{Q}^{d/q-d/p ...
Pierre-Gilles Lemarié-Rieusset
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Precompactness in matrix weighted Bourgain-Morrey spaces

Filomat
In this paper, we introduce matrix weighted Bourgain-Morrey spaces and obtain two sufficient conditions for precompact sets in matrix weighted Bourgain-Morrey spaces.
Tengfei Bai, Jingshi Xu
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Generalized Mixed Morrey Spaces

Mathematical Methods in the Applied Sciences
ABSTRACTIn this paper, we introduce the generalized mixed Morrey spaces. We show that a generalized mixed Morrey space is the dual of a generalized mixed Hardy space. For a large class of generalized fractional integral operators, we give a necessary and sufficient condition for such operators to be bounded from one generalized mixed Morrey space to ...
Hongli Yu, Wenchang Sun
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mathematics
function spaces arising in harmonic analysis
morrey space

maximal functions, littlewood-paley theory
mathematics - functional analysis
commutators

42b35
analysis
functional analysis math.fa