Vector-valued Littlewood-Paley-Stein Theory for Semigroups II
2018 ◽
Vol 2020
(21)
◽
pp. 7769-7791
◽
Keyword(s):
Abstract Inspired by a recent work of Hytönen and Naor, we solve a problem left open in our previous work joint with Martínez and Torrea on the vector-valued Littlewood-Paley-Stein theory for symmetric diffusion semigroups. We prove a similar result in the discrete case, namely, for any $T$ which is the square of a symmetric diffusion Markovian operator on a measure space $(\Omega , \mu )$. Moreover, we show that $T\otimes{ \textrm{Id}}_X$ extends to an analytic contraction on $L_p(\Omega ; X)$ for any $1<p<\infty $ and any uniformly convex Banach space $X$.
1991 ◽
Vol 117
(3-4)
◽
pp. 299-303
◽
1992 ◽
Vol 53
(1)
◽
pp. 25-38
1989 ◽
Vol 40
(1)
◽
pp. 113-117
◽
Keyword(s):
1976 ◽
Vol 15
(1)
◽
pp. 87-96
1978 ◽
Vol s2-18
(1)
◽
pp. 151-156
◽
Keyword(s):
1974 ◽
Vol 26
(1)
◽
pp. 91-97
◽
1976 ◽
Vol 54
(1)
◽
pp. 207-207
◽
Keyword(s):
Keyword(s):