Title of article :
Littlewood–Paley inequalities in uniformly convex
and uniformly smooth Banach spaces
Author/Authors :
Karen Avetisyan، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2007
Pages :
13
From page :
31
To page :
43
Abstract :
It is proved that the inequality δX(ε) cεp, p 2, where δX is the modulus of convexity of X, is sufficient
and necessary for the inequality
D
∇f (z)
p 1 − |z| p−1
dA(z) C f p
p,X − f (0)
p ,
where f is an X-valued harmonic function belonging to the Hardy space hp(X). The reverse inequality
(1
Keywords :
Banach space , Harmonic function , Uniform p-convexity , Uniform p-smoothness , Littlewood–Paley inequality , Hardy space
Journal title :
Journal of Mathematical Analysis and Applications
Serial Year :
2007
Journal title :
Journal of Mathematical Analysis and Applications
Record number :
936268
Link To Document :
