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Wavelet Bases in Banach Function Spaces

Bulletin of the Malaysian Mathematical Sciences Society, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Weak Hardy-type spaces associated with ball quasi-Banach function spaces I: Decompositions with applications to boundedness of Calderón-Zygmund operators

Science China Mathematics, 2019
Let X be a ball quasi-Banach function space on ℝn. In this article, we introduce the weak Hardy-type space W HX(ℝn), associated with X, via the radial maximal function.
Yangyang Zhang   +3 more
semanticscholar   +1 more source

Weak Hardy-Type Spaces Associated with Ball Quasi-Banach Function Spaces II: Littlewood–Paley Characterizations and Real Interpolation

Journal of Geometric Analysis, 2019
Let X be a ball quasi-Banach function space on $${\mathbb R}^n$$ R n . In this article, assuming that the powered Hardy–Littlewood maximal operator satisfies some Fefferman–Stein vector-valued maximal inequality on X as well as it is bounded on both the ...
Songbai Wang   +3 more
semanticscholar   +1 more source

Function Spaces and Banach Spaces

1965
The theory of integration developed in Chapter Three enables us to define certain spaces of functions that have remarkable properties and are of enormous importance in analysis as well as in its applications. We have already, in § 7, considered spaces whose points are functions. In §7, we considered only the uniform norm ∥ ∥ u [see (7.3)] to define the
Edwin Hewitt, Karl Stromberg
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Functional Inequalities in Banach Spaces and Fuzzy Banach Spaces

2016
This paper is a survey on the Hyers–Ulam stability of additive functional inequalities, quadratic functional inequalities, additive ρ-functional inequalities, and quadratic ρ-functional inequalities in Banach spaces and fuzzy Banach spaces. Its content is divided into the following sections: 1. Introduction and Preliminaries.
Choonkil Park   +2 more
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Banach Spaces of Continuous Functions

The Annals of Mathematics, 1948
If X is any topological space, let B(X) be the space of real bounded continuous functions on X, made into a Banach space by the usual norm II b I = supZExIb(x) 1. According to the Banach-Stone Theorem (see [2], [7], [3],),' if X is compact2 B(X) determines the topology of X, in the sense that if B(X1) is equivalent to B(X2) for compact Xi and X2 then ...
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Banach envelopes of some quasi-Banach function spaces

Commentationes Mathematicae, 2016
Summary: We show that under some assumptions on the Musielak-Orlicz function generating a quasi-Banach Musielak-Orlicz function space, the Banach envelope of the weighted Cesàro-Musielak-Orlicz space generated by a certain positive sublinear operator is a weighted \(L_1\)-space.
Kamińska, Anna, Kubiak, Damian
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FOURIER-TYPE TRANSFORMS ON REARRANGEMENT-INVARIANT QUASI-BANACH FUNCTION SPACES

Glasgow Mathematical Journal, 2018
We establish the mapping properties of Fourier-type transforms on rearrangement-invariant quasi-Banach function spaces. In particular, we have the mapping properties of the Laplace transform, the Hankel transforms, the Kontorovich-Lebedev transform and ...
K. Ho
semanticscholar   +1 more source

The Bourgain–Brezis–Mironescu formula on ball Banach function spaces

Mathematische Annalen, 2023
Feng Dai   +5 more
semanticscholar   +1 more source

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