Mathematics – Classical Analysis and ODEs
Scientific paper
2011-03-03
Mathematics
Classical Analysis and ODEs
20 pages
Scientific paper
We consider several problems at or beyond endpoint in harmonic analysis. The solutions of these problems are related to the estimates of some classes of sublinear operators. To do this, we introduce some new functions spaces $RL^{p,s}_{|x|^{\alpha}}({\bf R}^n)$ and $\dot{R}L^{p,s}_{|x|^{\alpha}}({\bf R}^n)$, which play an analogue role with the classical Hardy spaces $H^p({\bf R}^n)$. These spaces are subspaces of $L^p_{|x|^{\alpha}}({\bf R}^n)$ with $1
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