On compactness of commutators of multiplication and bilinear pseudodifferential operators and a new subspace of BMO

DOI10.4171/RMI/1156zbMath1444.42017OpenAlexW2998211731MaRDI QIDQ783787

Rodolfo H. Torres, Qing Ying Xue

Publication date: 4 August 2020

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rmi/1156

zbMATH Keywords

singular integralsbilinear operatorscommutatorsVMOcompact operatorsCalderón-Zygmund theorybounded mean oscillationCMO

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Linear operators defined by compactness properties (47B07) Integral, integro-differential, and pseudodifferential operators (47G99)

Related Items (15)

A NOTE ON MULTILINEAR PSEUDO-DIFFERENTIAL OPERATORS AND ITERATED COMMUTATORS ⋮ On weighted compactness of commutators of bilinear maximal Calderón-Zygmund singular integral operators ⋮ On weighted compactness of commutators related with Schrödinger operators ⋮ On weighted compactness of commutator of semi-group maximal function and fractional integrals associated to Schrödinger operators ⋮ On the caloric functions with BMO traces and their limiting behaviors ⋮ A new vanishing Lipschitz-type subspace of BMO and compactness of bilinear commutators ⋮ On weighted boundedness and compactness of commutators of Marcinkiewicz integral associated with Schrödinger operators ⋮ Weighted \(L^p\)-boundedness and \(L^p\)-compactness criteria to commutators of operators with kernels satisfying Hörmander type estimates ⋮ On weighted compactness of commutators of square function and semi-group maximal function associated to Schrödinger operators ⋮ The \(\mathrm{CMO}\)-Dirichlet problem for elliptic systems in the upper half-space ⋮ Weighted Fréchet-Kolmogorov theorem and compactness of vector-valued multilinear operators ⋮ On oscillatory singular integrals and their commutators with non-convolutional Hölder class kernels ⋮ XMO and weighted compact bilinear commutators ⋮ Vanishing John-Nirenberg spaces ⋮ On weighted boundedness and compactness of operators generated by fractional heat semigroups related with Schrödinger operators

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