Weak Type Estimates for Intrinsic Square Functions on Weighted Morrey Spaces

Weak Type Estimates for Intrinsic Square Functions on Weighted Morrey Spaces

Year:    2013

Analysis in Theory and Applications, Vol. 29 (2013), Iss. 2 : pp. 104–119

Abstract

In this paper, we will obtain the weak type estimates of intrinsic square functions including the Lusin area integral, Littlewood-Paley $g$-function and $g^*_\lambda$-function on the weighted Morrey spaces $L^{1,\kappa}(w)$ for $0<\kappa<1$ and $w\in A_1$.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2013.v29.n2.2

Analysis in Theory and Applications, Vol. 29 (2013), Iss. 2 : pp. 104–119

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    Intrinsic square function weighted Morrey space $A_p$ weight.