INTRINSIC SQUARE FUNCTIONS ON FUNCTIONS SPACES INCLUDING WEIGHTED MORREY SPACES

Title & Authors
INTRINSIC SQUARE FUNCTIONS ON FUNCTIONS SPACES INCLUDING WEIGHTED MORREY SPACES
Feuto, Justin;

Abstract
We prove that the intrinsic square functions including Lusin area integral and Littlewood-Paley $\small{g^*_{\lambda}}$-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;
Language
English
Cited by
1.
Some estimates of intrinsic square functions on the weighted Herz-type Hardy spaces, Journal of Inequalities and Applications, 2015, 2015, 1
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