Characterization of fractional maximal operator and its commutators on Orlicz spaces in the Dunkl setting

DOI10.1007/s11868-020-00364-wzbMath1451.42021OpenAlexW3085020120MaRDI QIDQ2210479

Fatma Muslumova, Vagif S. Guliyev, Yagub Y. Mammadov

Publication date: 6 November 2020

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-020-00364-w

zbMATH Keywords

BMOOrlicz spacecommutatorfractional maximal operatorDunkl operator

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)

Related Items (1)

Boundedness of bilinear Dunkl–Hausdorff operators on products of Lebesgue and Morrey spaces

Cites Work

• Almost everywhere convergence of Bochner-Riesz means with critical index for Dunkl transforms
• Besov-type spaces for the Dunkl operator on the real line
• Dunkl translation and uncentered maximal operator on the real line
• On fractional maximal function and fractional integrals associated with the Dunkl operator on the real line
• Factorization theorems for Hardy spaces in several variables
• Mean oscillation and commutators of singular integral operators
• \(L^{p}\)-Fourier multipliers for the Dunkl operator on the real line.
• A note on the behavior of the Dunkl maximal operator
• Positivity of Dunkl's intertwining operator
• A note on maximal commutators and commutators of maximal functions
• Boundedness Characterization of Maximal Commutators on Orlicz Spaces in the Dunkl Setting
• Differential-Difference Operators Associated to Reflection Groups
• Strong and Weak Type Inequalities for Some Classical Operators in Orlicz Spaces
• Transmutation operators associated with a dunkl type differential-difference operator on the real line and certain of their applications
• On maximal functions in Orlicz spaces
• On Certain Convolution Inequalities
• Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
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