Spaces ofDLptype and a convolution product associated with the spherical mean operator
2005 ◽
Vol 2005
(3)
◽
pp. 357-381
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Keyword(s):
We define and study the spacesℳp(ℝ×ℝn),1≤p≤∞, that are ofDLptype. Using the harmonic analysis associated with the spherical mean operator, we give a new characterization of the dual spaceℳ′p(ℝ×ℝn)and describe its bounded subsets. Next, we define a convolution product inℳ′p(ℝ×ℝn)×Mr(ℝ×ℝn),1≤r≤p<∞, and prove some new results.
2004 ◽
Vol 02
(03)
◽
pp. 177-192
◽
2003 ◽
Vol 01
(02)
◽
pp. 141-164
◽
2010 ◽
Vol 7
(2)
◽
pp. 169-194
◽
Keyword(s):
2012 ◽
Vol 32
(2)
◽
pp. 455-470
◽