Wavelet characterizations of Musielak-Orlicz Hardy spaces

DOI10.1215/17358787-2018-0010zbMath1402.42046OpenAlexW2892092285WikidataQ129283032 ScholiaQ129283032MaRDI QIDQ1790424

Xing Fu, Da Chun Yang

Publication date: 2 October 2018

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bjma/1536048016

zbMATH Keywords

Littlewood-Paley \(g\)-functionatomwaveletMusielak-Orlicz Hardy spacePeetre-type maximal function

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) (H^p)-spaces (42B30)

Related Items

The boundedness of Calderón-Zygmund operators on Lipschitz spaces over spaces of homogeneous type ⋮ Real-variable characterizations of Musielak–Orlicz Hardy spaces on spaces of homogeneous type ⋮ Weighted local Hardy spaces with variable exponents ⋮ Atomic characterization of Musielak-Orlicz-Lorentz Hardy spaces and its applications to real interpolation and boundedness of Calderón-Zygmund operators ⋮ Atomic and wavelet characterization of Musielak-Orlicz Hardy spaces for generalized Orlicz functions ⋮ Calderón-Zygmund operators on Lipschitz spaces over RD spaces ⋮ Atomic characterizations of weak martingale Musielak-Orlicz Hardy spaces and their applications ⋮ Intrinsic square function characterizations of weak Musielak-Orlicz Hardy spaces ⋮ Equivalent characterizations of Hardy spaces with variable exponent via wavelets ⋮ Intrinsic Square Function Characterizations of Several Hardy--Type Spaces--a Survey

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Characterizations of variable exponent Hardy spaces via Riesz transforms
• Boundedness of intrinsic Littlewood-Paley functions on Musielak-Orlicz Morrey and Campanato spaces
• New real-variable characterizations of Musielak-Orlicz Hardy spaces
• The wavelet characterization of Herz-type Hardy spaces with variable exponent
• Real-variable theory of Musielak-Orlicz Hardy spaces
• Boundedness of sublinear operators on Herz spaces with variable exponent and application to wavelet characterization
• Paraproducts and products of functions in \(BMO(\mathbb R^n)\) and \(\mathcal H^1(\mathbb R^n)\) through wavelets
• On the theory of harmonic functions of several variables
• Endpoint for the div-curl lemma in Hardy spaces
• The \(\varphi\)-transform and wavelet characterizations of Herz-type spaces
• Local Hardy spaces of Musielak-Orlicz type and their applications
• Musielak-Orlicz Campanato spaces and applications
• A wavelet characterization for weighted Hardy spaces
• New Hardy spaces of Musielak-Orlicz type and boundedness of sublinear operators
• On the product of functions in BMO and H\(^1\)
• \(H^p\) spaces of several variables
• Endpoint estimates for commutators of singular integrals related to Schrödinger operators
• Bilinear decompositions and commutators of singular integral operators
• Bilinear decompositions for the product space HL1×BMOL
• Wavelet characterization and modular inequalities for weighted Lebesgue spaces with variable exponent
• Orthonormal bases of compactly supported wavelets
• The wavelet characterization of the space Weak H¹
• Intrinsic square function characterizations of Musielak-Orlicz Hardy spaces
• Hankel operators and weak factorization for Hardy–Orlicz spaces
• LUSIN AREA FUNCTION AND MOLECULAR CHARACTERIZATIONS OF MUSIELAK–ORLICZ HARDY SPACES AND THEIR APPLICATIONS
• Wavelet characterization of weighted spaces