Boundedness of certain commutators over non-homogeneous metric measure spaces

DOI10.1007/S13324-016-0136-6zbMath1367.47043OpenAlexW2468102203MaRDI QIDQ2363379

Suqing Wu, Haibo Lin, Da Chun Yang

Publication date: 19 July 2017

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-016-0136-6

zbMATH Keywords

Hardy spacefractional integralcommutatorCalderón-Zygmund operatornon-homogeneous metric measure spacegeometrically doubling measureupper doubling measure\(\widetilde{\mathrm{RBMO}}\) function

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Commutators, derivations, elementary operators, etc. (47B47) Analysis on metric spaces (30L99)

Related Items (16)

Weighted estimates for iterated commutators of multilinear Calderón-Zygmund operators on non-homogeneous metric measure spaces ⋮ Commutators of multilinear strongly singular integrals on nonhomogeneous metric measure spaces ⋮ FRACTIONAL TYPE MARCINKIEWICZ INTEGRAL AND ITS COMMUTATOR ON NONHOMOGENEOUS SPACES ⋮ Boundedness for commutators of bilinear \(\theta\)-type Calderón-Zygmund operators on nonhomogeneous metric measure spaces ⋮ Fractional type Marcinkiewicz integral operator associated with \(\Theta\)-type generalized fractional kernel and its commutator on non-homogeneous spaces ⋮ Bilinear \(\theta\)-type generalized fractional integral and its commutator on nonhomogeneous metric measure spaces ⋮ Multiple weighted estimates for bilinear Calderón-Zygmund operator and its commutator on non-homogeneous spaces ⋮ Estimates for bilinear \(\theta \)-type generalized fractional integral and its commutator on new non-homogeneous generalized Morrey spaces ⋮ Unnamed Item ⋮ Bilinear \(\theta\)-type Calderón-Zygmund operator and its commutator on non-homogeneous weighted Morrey spaces ⋮ Parameter \(\theta\)-type Marcinkiewicz integral on nonhomogeneous weighted generalized Morrey spaces ⋮ Maximal multilinear commutators on non-homogeneous metric measure spaces ⋮ Unnamed Item ⋮ Endpoint boundedness of linear commutators on local Hardy spaces over metric measure spaces of homogeneous type ⋮ Commutators of \(\theta \)-type generalized fractional integrals on non-homogeneous spaces ⋮ Bilinear \(\theta\)-type generalized fractional integral operator and its commutator on some non-homogeneous spaces

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