Boundedness of fractional integrals on weighted Orlicz-Hardy spaces

DOI10.1002/mma.2888zbMath1280.26010OpenAlexW2157216426MaRDI QIDQ2857541

Jun Cao, Der-Chen E. Chang, Da Chun Yang, Si Bei Yang

Publication date: 4 November 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2888

zbMATH Keywords

atomCalderón-Zygmund decompositionfractional integralmoleculenontangential grand maximal functionweighted Orlicz-Hardy space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Fractional derivatives and integrals (26A33) (H^p)-spaces (42B30)

Related Items (4)

Weak Hardy-type spaces associated with ball quasi-Banach function spaces. II: Littlewood-Paley characterizations and real interpolation ⋮ Littlewood-Paley characterizations of Hardy-type spaces associated with ball quasi-Banach function spaces. In memory of Professor Carlos Berenstein ⋮ Boundedness of fractional integral operators on Musielak–Orlicz Hardy spaces ⋮ Mapping properties of the fractional integral operators on Herz-Hardy spaces with variable exponents

Cites Work

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• Weighted Hardy spaces associated with operators satisfying reinforced off-diagonal estimates
• Orlicz-Morrey spaces and fractional operators
• Sharp weighted bounds for fractional integral operators
• Riesz transforms associated to Schrödinger operators on weighted Hardy spaces
• An atomic decomposition of the predual of BMO(\(\rho\) )
• Homeomorphisms preserving \(A_ p\)
• A note on Riesz potentials
• Some properties of fractional integrals. II
• Homogeneous fractional integrals on Hardy spaces
• Multilinear estimates and fractional integration
• Multilinear commutators for fractional integrals in non-homogeneous spaces
• A look at \(\text{BMO}_{\varphi}(\omega)\) through Carleson measures
• ORLICZ–HARDY SPACES ASSOCIATED WITH OPERATORS SATISFYING DAVIES–GAFFNEY ESTIMATES
• Fractional Integrals on Weighted H p and L p Spaces
• Weighted local Orlicz–Hardy spaces with applications to pseudo-differential operators
• Wavelet expansions forBMO_ρ(w)-functions
• Weighted anisotropic Hardy spaces and their applications in boundedness of sublinear operators
• Weighted HARDY Spaces
• A Characterization of Two Weight Norm Inequalities for Fractional and Poisson Integrals
• Strong and Weak Type Inequalities for Some Classical Operators in Orlicz Spaces
• Weighted inequalities for vector-valued maximal functions and singular integrals
• On multilinear fractional integrals
• Über die Verallgemeinerung des Begriffes der zueinander konjugierten Potenzen
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Two-weight, weak-type norm inequalities for fractional integrals, Calderon-Zygmund operators
• Weighted Norm Inequalities for Fractional Integrals
• Hardy-Littlewood-Sobolev Theorems of Fractional Integration on Herz-Type Spaces and its Applications
• Fractional Integration in Orlicz Spaces. I
• Boundedness of the fractional integral on weighted Lebesgue and Lipschitz spaces
• Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials

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