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Boundedness of intrinsic square functions on generalized Morrey spaces (1103.1715v2)

Published 9 Mar 2011 in math.CA

Abstract: In this paper, we will study the strong type and weak type estimates of intrinsic square functions including the Lusin area integral, Littlewood-Paley $g$-function and $g*_\lambda$-function on the generalized Morrey spaces $L{p,\Phi}$ for $1\le p<\infty$, where $\Phi$ is a growth function on $(0,\infty)$ satisfying the doubling condition. The boundedness of the commutators generated by $BMO(\mathbb Rn)$ functions and intrinsic square functions is also obtained.

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