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Turkish Journal of Mathematics

DOI

10.3906/tar-2205-8

Abstract

The continuous wavelet transform in higher dimensions is used to prove the regularity of weak solutions $u \in L^p(\mathbb R^n)$ under $Qu = f$ where $f$ belongs to the Triebel-Lizorkin space $F^{r,q}_p(\mathbb R^n)$ where $1 < p,q < \infty$, $0< r <1$, and where $Q = \sum_{\vert \beta\vert \leq m} c_{\beta}{\partial^{\beta}}$ is a linear partial differential operator of order $m >0$ with positive constant coefficients $c_{\beta}$.

First Page

3159

Last Page

3170

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Mathematics Commons

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