Morrey space - Open Access .click

The Journal of Geometric Analysis, 2023
In this paper, the author introduces and investigates grand Morrey spaces and grand Hardy-Morrey spaces on \(\mathbb R^n\). He shows that whenever a grand Morrey space satisfies some mild conditions, the characteristic functions of balls belong to a grand Morrey space. Hence, a grand Morrey space is a ball Banach function space.
Kwok-Pun Ho
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Multipliers and Morrey Spaces

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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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.
Yoshihiro Sawano
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mathematics
function spaces arising in harmonic analysis
morrey spaces

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

maximal function
42b35
functional analysis math.fa