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INTRINSIC SQUARE FUNCTIONS ON FUNCTIONS SPACES INCLUDING WEIGHTED MORREY SPACES

  • Feuto, Justin (Laboratoire de Mathematiques Fondamentales UFR Mathematiques et Informatique Universite de Cocody)
  • Received : 2012.06.21
  • Published : 2013.11.30

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

References

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  1. Some estimates of intrinsic square functions on the weighted Herz-type Hardy spaces vol.2015, pp.1, 2015, https://doi.org/10.1186/s13660-015-0583-x