Remarks on Herz-type Hardy spaces

DOI10.1007/s101140100104zbMath0993.42010OpenAlexW1977395214MaRDI QIDQ5944209

Akihiko Miyachi

Publication date: 20 September 2002

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s101140100104

zbMATH Keywords

boundednessHardy spacessingular integralsfractional integralsHerz-type Hardy spacesmultilinear operator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) (H^p)-spaces (42B30) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items

Extrapolation to product Herz spaces and some applications ⋮ A characterization of CMO˙q→ via the commutator of Hardy-type operators on mixed Herz spaces ⋮ Navier-Stokes flow in the weighted Hardy space with applications to time decay problem ⋮ Unnamed Item ⋮ The boundedness of Fourier transform on the Herz type amalgams and Besov spaces ⋮ Mapping properties for operators on Herz-Morrey and Herz-Morrey-Hardy spaces ⋮ Block decomposition for Herz spaces associated with ball Banach function spaces ⋮ Variable Herz estimates for fractional integral operators ⋮ Div-curl lemma with critical power weights in dimension three ⋮ Multipliers and Herz type spaces ⋮ Boundedness of some bilinear operators on variable Herz-type Hardy spaces ⋮ Herz-type Triebel-Lizorkin spaces. I

Cites Work

• On the radial maximal function of distributions
• Some new classes of Hardy spaces
• Weighted Hardy spaces
• Parabolic maximal functions associated with a distribution. II
• Interpolation of Herz-type Hardy spaces
• Boundedness of commutators on homogeneous Herz spaces
• Herz-type Sobolev and Bessel potential spaces and their applications
• The continuity of commutators on Herz-type spaces
• Boundedness of multilinear operators in Herz-type Hardy space
• The decomposition of weighted Herz space on \(\mathbb{R}^ n\) and its applications
• Boundedness of some sublinear operators on Herz spaces
• The weighted Herz-type Hardy space and its applications
• Construction and analysis of some convolution algebras
• $H^{p}$ spaces over open subsets of $R^{n}$
• Multiplier theorems for Herz type Hardy spaces
• A Theory of Hardy Spaces Associated to the Herz Spaces
• The Littlewood-Paley function and φ-trans-form characterizations of a new Hardy space HK₂ associated with the Herz space
• Some characterizations of weighted Herz-type Hardy spaces and their applications
• Bilinear operators on Herz-type Hardy spaces
• Hardy Space Estimate for the Product of Singular Integrals
• Interpolation of Herz Spaces and Applications
• Hardy Spaces and Beurling Algebras
• The local versions of $H^p(ℝ^n)$ spaces at the origin
• Hardy-Littlewood-Sobolev Theorems of Fractional Integration on Herz-Type Spaces and its Applications
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item