Intrinsic square functions on functions spaces including weighted Morrey spaces
Bull. Korean Math. Soc. 2013 Vol. 50, No. 6, 1923-1936
https://doi.org/10.4134/BKMS.2013.50.6.1923
Published online November 1, 2013
Justin Feuto
Universit\'e de Cocody
Abstract : 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.
Keywords : amalgams spaces, Morrey spaces, commutator, $g$-function of Littlewood-Paley, Lusin area function
MSC numbers : 42B25, 47B38, 47B47
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