Extrapolation results in grand Lebesgue spaces defined on product sets

DOI10.1007/S11117-018-0564-7zbMath1408.46030OpenAlexW2793959958MaRDI QIDQ1791102

Alexander Meskhi, Vakhtang Kokilashvili

Publication date: 4 October 2018

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-018-0564-7

zbMATH Keywords

grand Lebesgue spacesweighted extrapolationstrong maximal operatorsmultiple integral operatorsCalderón-Zygmund operators with product kernelsfractional integrals with product kernels

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)

Related Items (12)

Extrapolation to product Herz spaces and some applications ⋮ Weighted Sobolev inequality in grand mixed norm Lebesgue spaces ⋮ Correction to: ``On a problem of Pichorides ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Rubio de Francía's weighted extrapolation in mixed‐norm spaces and applications ⋮ Extrapolation for weighted product Morrey spaces and some applications ⋮ Product Hardy spaces meet ball quasi-Banach function spaces ⋮ Boundedness of integral operators in generalized weighted grand Lebesgue spaces with non-doubling measures ⋮ Extrapolation in grand Lebesgue spaces with \(A_\infty\) weights ⋮ On a problem of Pichorides ⋮ Extrapolation in weighted classical and grand Lorentz spaces. Application to the boundedness of integral operators

Cites Work

• Sharp weighted bounds for multiple integral operators
• Weighted extrapolation in Iwaniec-Sbordone spaces. Applications to integral operators and approximation theory
• Boundedness criteria for singular integrals in weighted Grand Lebesgue spaces
• Integral operators in non-standard function spaces. Volume 2: Variable exponent Hölder, Morrey-Campanato and Grand spaces
• Reverse Hölder property for strong weights and general measures
• Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces
• Extrapolation of weights revisited: new proofs and sharp bounds
• Sharp weighted bounds for fractional integral operators
• Singular integrals on product spaces
• On weighted Lizorkin-Triebel spaces. Singular integrals, multipliers, imbedding theorems
• Lipschitz functions on spaces of homogeneous type
• Weighted Hardy spaces
• On the integrability of the Jacobian under minimal hypotheses
• Inverting the \(p\)-harmonic operator
• Duality and reflexivity in grand Lebesgue spaces
• On small Lebesgue spaces
• Sharp reverse Hölder property for \(A_\infty\) weights on spaces of homogeneous type
• Potentials with product kernels in grand Lebesgue spaces: one-weight criteria
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• The maximal theorem for weighted grand Lebesgue spaces
• Extrapolation Results for Classes of Weights
• Factorization and extrapolation of weights
• Sharp Weighted Bounds for Fractional Integral Operators in a Space of Homogeneous Type
• Criteria for the Boundedness of Potential Operators in Grand Lebesgue Spaces
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