Boundedness of Multidimensional Dunkl-Hausdorff Operators
Copyright policy )Boundedness of Multidimensional Dunkl-Hausdorff Operators
In the present paper, we introduce the multidimensional Dunkl-Hausdorff operator ℋκ and we give simple sufficient conditions so that these operators be bounded on the weighted lebesgue spaces Lκpℝn and in the Hardy space Hκ1ℝn associated with the Dunkl operators. We also determine the Dunkl-Hausdorff operator ℋκ∗ that is adjoint to ℋκ.
- Université Hassan II Mohammedia Morocco
Artificial intelligence, Applied Mathematics, Fractional Fourier Transform Analysis, Computer science, \(H^p\)-spaces, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Algorithm, Linear operators on function spaces (general), Physical Sciences, Harmonic Analysis and Operator Theory, QA1-939, FOS: Mathematics, Hardy Spaces, Global Well-Posedness of Nonlinear Wave Equations, Mathematics, Mathematical Physics
Artificial intelligence, Applied Mathematics, Fractional Fourier Transform Analysis, Computer science, \(H^p\)-spaces, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Algorithm, Linear operators on function spaces (general), Physical Sciences, Harmonic Analysis and Operator Theory, QA1-939, FOS: Mathematics, Hardy Spaces, Global Well-Posedness of Nonlinear Wave Equations, Mathematics, Mathematical Physics
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