BOUNDEDNESS OF DUNKL-HAUSDORFF OPERATOR FOR RADIALLY DECREASING FUNCTIONS AND MONOTONE WEIGHTS ON Rn.

Autor: Jain, Sandhya, Singh, Arun Pal, Madan, Megha, Jain, Pankaj
Zdroj: Journal of Mathematical Sciences; Apr2024, Vol. 280 Issue 3, p356-373, 18p
Abstrakt: We characterize the L v p (R n) - L u q (R n) boundedness of the Dunkl-Hausdorff operator for radially decreasing functions. Both the cases 1 < p ≤ q < ∞ as well as 1 < q < p < ∞ have been discussed. For p = q , the boundedness has also been characterized in case the weights are radially monotone. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index