Some estimates for Bochner-Riesz operators on the weighted Morrey spaces

Details Some estimates for Bochner-Riesz operators on the weighted Morrey spaces Some estimates for Bochner-Riesz operators on the weighted Morrey spaces

2010-11-07

arxiv.org/abs/1011.1622v1

Mathematics

Classical Analysis and ODEs

13 pages

Scientific paper

In this paper, we will obtain some weighted strong type and weak type estimates of Bochner-Riesz operators $T^{{(n-1)}/2}_R$ on the weighted Morrey spaces $L^{p,\kappa}(w)$ for $1\le p<\infty$ and $0<\kappa<1$. We will also prove that the commutator formed by a $BMO(\mathbb R^n)$ function $b(x)$ and $T^\delta_R$($\delta\ge(n-1)/2$) is a bounded operator on the weighted Morrey spaces $L^{p,\kappa}(w)$ for $1

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