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arxiv: 1205.0129 · v3 · pith:E7CJ5WLEnew · submitted 2012-05-01 · 🧮 math.CA

Intrinsic square functions on functions spaces including weighted Morrey spaces

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keywords functionsspacesfunctionincludingintrinsicmorreysquareweighted
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We prove that the intrinsic square functions including Lusin area integral and Littlewood-Paley $g^{\ast}_{\lambda}$-function as defined by Wilson, are bounded in a class of function spaces include weighted Morrey spaces. The corresponding commutators generated by $BMO$ functions are also considered.

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