Continuous wavelet transform on Triebel-Lizorkin spaces

Authors

ANTONIO L. BAISÓN OLMO
VÍCTOR A. CRUZ BARRIGUETE
JAIME NAVARRO

DOI

10.55730/1300-0098.3325

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 $1 < p,q < \infty$, $0< r 0$ with positive constant coefficients $c_{\beta}$.

Keywords

Admissible function, continuous wavelet transform, Triebel-Lizorkin spaces, weak solution, regularity, differential operators

First Page

3159

Last Page

3170

Recommended Citation

OLMO, ANTONIO L. BAISÓN; BARRIGUETE, VÍCTOR A. CRUZ; and NAVARRO, JAIME (2022) "Continuous wavelet transform on Triebel-Lizorkin spaces," Turkish Journal of Mathematics: Vol. 46: No. 8, Article 7. https://doi.org/10.55730/1300-0098.3325
Available at: https://journals.tubitak.gov.tr/math/vol46/iss8/7