Boundedness and compactness characterizations of Riesz transform commutators on Morrey spaces in the Bessel setting

DOI10.1142/S0219530518500227zbMath1405.42026OpenAlexW2883912679MaRDI QIDQ4615661

Suzhen Mao, Huo Xiong Wu, Dong Yong Yang

Publication date: 29 January 2019

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530518500227

zbMATH Keywords

Bessel operatorMorrey spacecommutatorRiesz transform\(H^1(\mathbb{R}_+d m_\lambda)\)

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35)

Related Items

Two weight commutators on spaces of homogeneous type and applications, Commutators on weighted Morrey spaces on spaces of homogeneous type, Weighted compactness for Calderón type commutators and oscillatory operators

Cites Work

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• Compactness of the commutator of bilinear Fourier multiplier operator
• The Kolmogorov-Riesz compactness theorem
• Partial differential equations. II: Qualitative studies of linear equations
• Riesz transforms associated to Bessel operators
• On Hardy spaces associated with Bessel operators
• Maximal operators, Riesz transforms and Littlewood-Paley functions associated with Bessel operators on BMO
• Local sharp maximal functions
• On the boundedness and compactness of operators of Hankel type
• Factorization theorems for Hardy spaces in several variables
• On the compactness of operators of Hankel type
• Mean oscillation and commutators of singular integral operators
• Compactness of Riesz transform commutator associated with Bessel operators
• Calderon-Zygmund operators, pseudo-differential operators and the Cauchy integral of Calderon
• Beltrami operators in the plane
• Morrey spaces, their duals and preduals
• Boundedness of maximal singular integral operators on spaces of homogeneous type and its applications
• Compactness of Commutators for Singular Integrals on Morrey Spaces
• Local Hardy spaces associated with inhomogeneous higher order elliptic operators
• REAL-VARIABLE CHARACTERIZATIONS OF HARDY SPACES ASSOCIATED WITH BESSEL OPERATORS
• Mapping properties of fundamental operators in harmonic analysis related to Bessel operators
• Weighted norm inequalities for generalized Hankel conjugate transformations
• Extensions of Hardy spaces and their use in analysis
• Morrey Spaces on Spaces of Homogeneous Type and Estimates for □_b and the Cauchy‐Szegö Projection
• Compact Commutators of Rough Singular Integral Operators
• ON LITTLEWOOD-PALEY FUNCTIONS ASSOCIATED WITH BESSEL OPERATORS
• Weighted estimates for Beltrami equations
• Factorization for Hardy spaces and characterization for BMO spaces via commutators in the Bessel setting
• Riesz transforms related to Bessel operators
• Factorization of functions in H¹(ℝⁿ) and generalized Morrey spaces
• Embedding properties of weighted Besov-type spaces
• Classical Expansions and Their Relation to Conjugate Harmonic Functions
• Boundedness and compactness of integral operators on spaces of homogeneous type and applications. I
• Boundedness and compactness of integral operators on spaces of homogeneous type and applications. II