Commutators with fractional differentiation and new characterizations of BMO-Sobolev spaces

DOI10.2140/apde.2016.9.1497zbMath1350.42022OpenAlexW2529743673MaRDI QIDQ325832

Guixiang Hong, Yan-ping Chen, Ding, Yong

Publication date: 11 October 2016

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.apde/1510843330

zbMATH Keywords

singular integral operatorHilbert transformLittlewood-Paley theoryRiesz transformscommutatorfractional differentiationBMO-Sobolev spaces

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractional derivatives and integrals (26A33)

Related Items (12)

Leibniz rules and Gauss-Green formulas in distributional fractional spaces ⋮ Gradient estimates for the commutator with fractional differentiation for second order elliptic perators ⋮ Quantitative weighted bounds for Calderón commutators with rough kernels ⋮ The unified theory for the necessity of bounded commutators and applications ⋮ Commutators with fractional differentiation for second-order elliptic operators on ℝn ⋮ Compactness characterizations of commutators on ball Banach function spaces ⋮ Commutators of square functions related to fractional differentiation for second-order elliptic operators ⋮ Endpoint boundedness of linear commutators on local Hardy spaces over metric measure spaces of homogeneous type ⋮ Necessary and sufficient conditions for the bounds of the commutator of a Littlewood-Paley operator with fractional differentiation ⋮ Marcinkiewicz integrals with rough kernel associated with Schrödinger operators and commutators on generalized vanishing local Morrey spaces ⋮ Necessary and sufficient conditions for the bounds of the commutators with fractional differentiations and BMO-Sobolev spaces on weighted Lebesgue space ⋮ \(L^p(\mathbb{R}^d)\) boundedness for the Calderón commutator with rough kernel

This page was built for publication: Commutators with fractional differentiation and new characterizations of BMO-Sobolev spaces