(Lp,Lq) Boundedness of the fractional maximal operator associated with the Dunkl operator on the real line
DOI10.1080/10652460903507248zbMath1207.42017OpenAlexW2038071615MaRDI QIDQ3584676
Vagif S. Guliyev, Yagub Y. Mammadov
Publication date: 30 August 2010
Published in: Integral Transforms and Special Functions (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10652460903507248
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Integral operators (47G10) Analysis on specific locally compact and other abelian groups (43A70)
Related Items (4)
Cites Work
- Generalized Fock spaces and Weyl relations for the Dunkl kernel on the real line
- On fractional maximal function and fractional integrals associated with the Dunkl operator on the real line
- Weak type \(L^ 1\) estimates for maximal functions on non-compact symmetric spaces
- The Dunkl transform
- \(L^{p}\)-Fourier multipliers for the Dunkl operator on the real line.
- Littlewood--Paley operators associated with the Dunkl operator on \(\mathbb R\).
- L p -multipliers for Noncompact Symmetric Spaces
- Transmutation operators associated with a dunkl type differential-difference operator on the real line and certain of their applications
- Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
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