Dunkl Translation and Uncentered Maximal Operator on the Real Line
2007 ◽
Vol 2007
◽
pp. 1-9
◽
Keyword(s):
We establish estimates of the Dunkl translation of the characteristic functionχ[−ɛ,ɛ],ɛ>0, and we prove that the uncentered maximal operator associated with the Dunkl operator is of weak type(1,1). As a consequence, we obtain theLp-boundedness of this operator for1<p≤+∞.
2010 ◽
Vol 21
(8)
◽
pp. 629-639
◽
2007 ◽
Vol 199
(1)
◽
pp. 56-67
◽
2009 ◽
Vol 20
(12)
◽
pp. 915-924
◽
Proceedings of the Institute of Mathematics and Mechanics,National Academy of Sciences of Azerbaijan
◽
2020 ◽
Vol 4
(4)
◽
pp. 130-144
2019 ◽
Vol 357
(4)
◽
pp. 339-344
◽
2005 ◽
Vol 16
(4)
◽
pp. 301-314
◽