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http://dx.doi.org/10.4134/BKMS.2013.50.6.1923

INTRINSIC SQUARE FUNCTIONS ON FUNCTIONS SPACES INCLUDING WEIGHTED MORREY SPACES  

Feuto, Justin (Laboratoire de Mathematiques Fondamentales UFR Mathematiques et Informatique Universite de Cocody)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.6, 2013 , pp. 1923-1936 More about this Journal
Abstract
We prove that the intrinsic square functions including Lusin area integral and Littlewood-Paley $g^*_{\lambda}$-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.
Keywords
amalgams spaces; Morrey spaces; commutator; g-function of Littlewood-Paley; Lusin area function;
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