Boundedness of strongly singular integral operators on non-homogenous metric measure spaces

DOI10.1007/S10476-022-0177-ZOpenAlexW4296023064WikidataQ114227583 ScholiaQ114227583MaRDI QIDQ2678420

Hailian Wang, RuLong Xie

Publication date: 23 January 2023

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

Full work available at URL: https://doi.org/10.1007/s10476-022-0177-z

zbMATH Keywords

commutatorstrongly singular integral operatornon-homogeneous metric measure spaceRBMO(\(\mu\))

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) (H^p)-spaces (42B30)

Cites Work

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• \(\Theta\)-type Calderón-Zygmund operators with non-doubling measures
• Commutators of multilinear singular integral operators on non-homogeneous metric measure spaces
• Spaces of type BLO on non-homogeneous metric measure
• Boundedness of Calderón-Zygmund operators on non-homogeneous metric measure spaces: equivalent characterizations
• Weighted norm inequalities for multilinear Calderón-Zygmund operators on non-homogeneous metric measure spaces
• Weighted estimates for iterated commutators of multilinear Calderón-Zygmund operators on non-homogeneous metric measure spaces
• Toeplitz operators related to strongly singular Calderón--Zygmund operators
• A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa
• \(H^ p\) continuity properties of Calderón-Zygmund-type operators
• Vector valued inequalities for strongly singular Calderón-Zygmund operators
• Lectures on analysis on metric spaces
• Multilinear commutators for fractional integrals in non-homogeneous spaces
• Multilinear commutators of singular integrals with non doubling measures
• Painlevé's problem and the semiadditivity of analytic capacity.
• The \(Tb\)-theorem on non-homogeneous spaces.
• Non-homogeneous \(Tb\) theorem and random dyadic cubes on metric measure spaces
• Boundedness of multilinear commutators of Calderón-Zygmund operators on Orlicz spaces over non-homogeneous spaces
• Hardy spaces, regularized BMO spaces and the boundedness of Calderón-Zygmund operators on non-homogeneous spaces
• Commutators of bilinear \(\theta\)-type Calderón-Zygmund operators on Morrey spaces over non-homogeneous spaces
• Boundedness of commutators on Hardy-type spaces
• Strongly singular Calderón-Zygmund operator and commutator on Morrey type spaces
• \(H^p\) spaces of several variables
• The Hardy space H¹ on non-homogeneous metric spaces
• Boundedness of Calderón–Zygmund Operators on Non-homogeneous Metric Measure Spaces
• Two-weight norm inequalities for maximal operators and fractional integrals on non-homogenous spaces
• New atomic characterization of $\hbox{\itshape H}^{\hbox{\scriptsize 1}}$ space with non-doubling measures and its applications
• A real variable characterization of $H^{p}$
• Boundedness properties of fractional integral operators associated to non-doubling measures
• BMO, \(H^1\), and Calderón-Zygmund operators for non doubling measures

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