Some embeddings into the total Morrey spaces associated with the Dunkl operator on Rd

DOI10.30546/2617-7900.43.1.2023.94OpenAlexW4384571016MaRDI QIDQ6198903

Fatma Muslumova

Publication date: 23 February 2024

Published in: TRANSACTIONS ISSUE MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30546/2617-7900.43.1.2023.94

zbMATH Keywords

Dunkl operatorgeneralized translation operatortotal \(D_k\)-Morrey space

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)

Cites Work

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• On fractional maximal function and fractional integrals associated with the Dunkl operator on the real line
• The Dunkl transform
• Positivity of Dunkl's intertwining operator
• Convolution operator and maximal function for the Dunkl transform
• Integral Kernels with Reflection Group Invariance
• Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
• A positive radial product formula for the Dunkl kernel
• Maximal commutator and commutator of maximal function on total Morrey spaces

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