Littlewood-Paley \(g_{\lambda}^*\)-function characterizations of Musielak-Orlicz Hardy spaces on spaces of homogeneous type

DOI10.15393/j3.art.2023.15310MaRDI QIDQ6540335

Xian Jie Yan

Publication date: 15 May 2024

Published in: Problemy Analiza. Issues of Analysis (Search for Journal in Brave)

zbMATH Keywords

space of homogeneous typeMusielak-Orlicz Hardy space\(g_\lambda^*\)-functionLittlewood-Paley auxiliary function

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) (H^p)-spaces (42B30) Analysis on metric spaces (30L99) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)

Cites Work

• Unnamed Item
• Hardy spaces with variable exponents and generalized Campanato spaces
• New real-variable characterizations of Musielak-Orlicz Hardy spaces
• Musielak-Orlicz BMO-type spaces associated with generalized approximations to the identity
• Littlewood-Paley characterizations of anisotropic Hardy spaces of Musielak-Orlicz type
• Real-variable theory of Musielak-Orlicz Hardy spaces
• 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
• A theory of Besov and Triebel-Lizorkin spaces on metric measure spaces modeled on Carnot-Carathéodory spaces
• Generalizations of Lipschitz spaces and an application to Hardy spaces and bounded mean oscillation
• Weighted Hardy spaces
• Parabolic maximal functions associated with a distribution. II
• New Calderón reproducing formulae with exponential decay on spaces of homogeneous type
• \({\mathcal H}^1\)-estimates of Jacobians by subdeterminants
• Orthonormal bases of regular wavelets in spaces of homogeneous type
• Bilinear decomposition and divergence-curl estimates on products related to local Hardy spaces and their dual spaces
• Sublinear operators on weighted Hardy spaces with variable exponents
• A complete real-variable theory of Hardy spaces on spaces of homogeneous type
• New Hardy spaces of Musielak-Orlicz type and boundedness of sublinear operators
• On the product of functions in BMO and H\(^1\)
• Bilinear decompositions and commutators of singular integral operators
• Systems of dyadic cubes in a doubling metric space
• Littlewood–Paley characterizations for Hardy spaces on spaces of homogeneous type
• Extensions of Hardy spaces and their use in analysis
• Hardy spaces of spaces of homogeneous type
• Real-variable characterizations of Musielak–Orlicz Hardy spaces on spaces of homogeneous type
• Classical Fourier Analysis
• LUSIN AREA FUNCTION AND MOLECULAR CHARACTERIZATIONS OF MUSIELAK–ORLICZ HARDY SPACES AND THEIR APPLICATIONS
• Hardy spaces associated with ball quasi‐Banach function spaces on spaces of homogeneous type: Characterizations of maximal functions, decompositions, and dual spaces
• Real‐variable characterizations of local Hardy spaces on spaces of homogeneous type

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