Weak and strong type estimates for the multilinear pseudo-differential operators

DOI10.1016/j.jfa.2019.108454zbMath1441.47058OpenAlexW2998534352WikidataQ126407017 ScholiaQ126407017MaRDI QIDQ2302165

Ming Ming Cao, Qing Ying Xue, Kôzô Yabuta

Publication date: 25 February 2020

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2019.108454

zbMATH Keywords

pseudo-differential operatorssharp weighted inequalitieslocal decay estimatesendpoint weak bounds

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) Multilinear and polynomial operators (47H60) Pseudodifferential operators (47G30)

Related Items (6)

Sawyer-type inequalities for Lorentz spaces ⋮ Weak and strong type estimates for square functions associated with operators ⋮ A class of multilinear bounded oscillation operators on measure spaces and applications ⋮ Mixed inequalities for operators associated to critical radius functions with applications to Schrödinger type operators ⋮ Limited range extrapolation with quantitative bounds and applications ⋮ Weak and strong type estimates for the multilinear Littlewood-Paley operators

Cites Work

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• Sharp weighted bounds involving \(A_\infty\)
• Exponential decay estimates for singular integral operators
• A Seeger-Sogge-Stein theorem for bilinear Fourier integral operators
• The sharp weighted bound for multilinear maximal functions and Calderón-Zygmund operators
• Weighted bounds for multilinear square functions
• Borderline weighted estimates for commutators of singular integrals
• Weights, extrapolation and the theory of Rubio de Francia.
• Sharp weighted norm inequalities for Littlewood-Paley operators and singular integrals
• Hölder regularity of subelliptic pseudodifferential operators
• New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory
• Weighted norm inequalities for paraproducts and bilinear pseudodifferential operators with mild regularity
• Hölder estimates on domains of complex dimension two and on three- dimensional CR manifolds
• Commutateurs d'intégrales singulières et opérateurs multilinéaires
• Sparse domination theorem for multilinear singular integral operators with \(L^r\)-Hörmander condition
• A note on expansiveness and hyperbolicity for generic geodesic flows
• Exponential estimates for the Calderón-Zygmund operator and related problems of Fourier series.
• Almost orthogonality and a class of bounded bilinear pseudodifferential operators
• Endpoint estimates for commutators of singular integral operators
• Sobolev space estimates for a class of bilinear pseudodifferential operators lacking symbolic calculus
• Mixed weak estimates of Sawyer type for commutators of generalized singular integrals and related operators
• Pseudo-differential operators and non-elliptic boundary problems
• On pointwise and weighted estimates for commutators of Calderón-Zygmund operators
• The multilinear Littlewood-Paley operators with minimal regularity conditions
• Proof of an extension of E. Sawyer's conjecture about weighted mixed weak-type estimates
• Hypoelliptic second order differential equations
• The A_2 theorem: Remarks and complements
• A note on multilinear Muckenhoupt classes for multiple weights
• Calderón-zygmund operators and pseudo-differential operators
• A Weighted Weak Type Inequality for the Maximal Function
• On The L²continuity of pseudo_differential operators
• Weighted Sobolev Spaces and Pseudodifferential Operators with Smooth Symbols
• L^p-Estimates for certain non-regular eudo-differential operators.
• The L^p-boundedness of pseudo-differential operators with non-regular symbols
• Weighted Norm Inequalities for Singular Integral Operators
• Quadratic $A^1$ bounds for commutators of singular integrals with BMO functions
• Weighted mixed weak-type inequalities for multilinear operators
• Modern Fourier Analysis
• Fractional Integration in Orlicz Spaces. I
• End-point estimates for iterated commutators of multilinear singular integrals
• A problem of nirenberg on pseudo‐differential operators
• On the L² continuity of pseudo‐differential operators
• A Class of Bounded Pseudo-Differential Operators

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