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Decomposition of Hardy–Morrey spaces

Decomposition of Hardy--Morrey spaces
Authors: Jia, Houyu; Wang, Henggeng;

Decomposition of Hardy–Morrey spaces

Abstract

Let \(M^p_q\), \(0 0}|B(x,R)|^{1/p- 1/q}\| f\|_{L^q(B(x,R))} 0}|\phi_t* f|\Biggr\|_{M^p_q}<\infty, \] is defined, where \(\phi\in S(\mathbb{R}^n)\) satisfies \(\int\phi(x)\,dx= 1\) and \(P\) is the set of all polynomials. A theorem on decomposition of \(f\in HM^p_q\) in a sum of dyadic \((p,q)_t\)-atoms is proved, with convergence understood in the sense of \(S'/P\).

Keywords

Hardy–Morrey space, maximal function, Applied Mathematics, Atomic decomposition, Function spaces arising in harmonic analysis, Hardy-Morrey space, Analysis, Maximal function, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), atomic decomposition

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
51
Top 10%
Top 10%
Average
hybrid