Fourier transform of Hardy spaces associated with ball quasi-Banach function spaces*

DOI10.1080/00036811.2021.1955863zbMath1502.42006OpenAlexW3190308511MaRDI QIDQ5095326

Long Huang, Der-Chen E. Chang, Da Chun Yang

Publication date: 8 August 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2021.1955863

zbMATH Keywords

Fourier transformHardy spaceHardy-Littlewood inequalityball quasi-Banach function space

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) (H^p)-spaces (42B30)

Related Items

Fourier transform of variable anisotropic Hardy spaces with applications to Hardy-Littlewood inequalities ⋮ Dual spaces of anisotropic variable Hardy-Lorentz spaces and their applications ⋮ Generalized Brezis-Seeger-Van Schaftingen-Yung formulae and their applications in ball Banach Sobolev spaces ⋮ Brezis-van Schaftingen-Yung formulae in ball Banach function spaces with applications to fractional Sobolev and Gagliardo-Nirenberg inequalities ⋮ Strongly singular Calderón-Zygmund operators on Hardy spaces associated with ball quasi-Banach function spaces ⋮ Mixed-norm Herz spaces and their applications in related Hardy spaces ⋮ Product Hardy spaces meet ball quasi-Banach function spaces ⋮ Bochner-Riesz means on Hardy spaces associated with ball quasi-Banach function spaces ⋮ Gagliardo representation of norms of ball quasi-Banach function spaces ⋮ The Bourgain-Brezis-Mironescu formula on ball Banach function spaces ⋮ Fourier Transform of Anisotropic Mixed-norm Hardy Spaces with Applications to Hardy-Littlewood Inequalities ⋮ Anisotropic mixed-norm Campanato-type spaces with applications to duals of anisotropic mixed-norm Hardy spaces ⋮ New ball Campanato-type function spaces and their applications ⋮ 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
• Hardy spaces with variable exponents and generalized Campanato spaces
• New real-variable characterizations of Musielak-Orlicz Hardy spaces
• Variable Lebesgue spaces. Foundations and harmonic analysis
• Orlicz-Hardy spaces and their duals
• Lebesgue and Sobolev spaces with variable exponents
• Estimates for translation invariant operators in \(L^p\) spaces
• The spaces \(L^ p\), with mixed norm
• Anisotropic mixed-norm Hardy spaces
• Fourier transform of anisotropic mixed-norm Hardy spaces
• Anisotropic mixed-norm Campanato-type spaces with applications to duals of anisotropic mixed-norm Hardy spaces
• Atomic decomposition for mixed Morrey spaces
• Growth envelopes of some variable and mixed function spaces
• New ball Campanato-type function spaces and their applications
• Hardy-Littlewood-Sobolev inequality on mixed-norm Lebesgue spaces
• Real-variable characterizations of new anisotropic mixed-norm Hardy spaces
• Littlewood-Paley characterizations of Hardy-type spaces associated with ball quasi-Banach function spaces. In memory of Professor Carlos Berenstein
• Intrinsic square function characterizations of Hardy spaces associated with ball quasi-Banach function spaces
• Identification of anisotropic mixed-norm Hardy spaces and certain homogeneous Triebel-Lizorkin spaces
• Applications of Hardy spaces associated with ball quasi-Banach function spaces
• Atomic and Littlewood-Paley characterizations of anisotropic mixed-norm Hardy spaces and their applications
• Molecular decomposition of anisotropic homogeneous mixed-norm spaces with applications to the boundedness of operators
• Mixed Morrey spaces
• Strong maximal operator on mixed-norm spaces
• \(H^p\) spaces of several variables
• Sublinear operators on mixed-norm Hardy spaces with variable exponents
• Iterated weak and weak mixed-norm spaces with applications to geometric inequalities
• Weak Hardy-type spaces associated with ball quasi-Banach function spaces. II: Littlewood-Paley characterizations and real interpolation
• Extension of multilinear fractional integral operators to linear operators on mixed-norm Lebesgue spaces
• Compactness characterizations of commutators on ball Banach function spaces
• Fourier transform of anisotropic Hardy spaces
• On Function Spaces with Mixed Norms — A Survey
• Dual spaces of anisotropic mixed-norm Hardy spaces
• Characterization of Fourier Transforms of Hardy Spaces
• Mixed-norm $\alpha $-modulation spaces
• Real-variable characterizations of Orlicz-slice Hardy spaces
• Hardy spaces for ball quasi-Banach function spaces