Weighted $L^P$-Estimates for Pseudo-Differential Operators with Non-Regular Symbols

Jürgen Marschall

doi:10.4171/zaa/470

JournalszaaVol. 10, No. 4pp. 493–501

Weighted $L^{P}$ -Estimates for Pseudo-Differential Operators with Non-Regular Symbols

Jürgen Marschall
Universität der Bundeswehr München, Neubiberg, Germany

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Abstract

Estimates for pseudo-differential operators with non-regular double symbols $a (x, y, ξ)$ are proved in weighted $L^{p}$ - and Sobolev spaces. The results presented here are generalizations of those by C. Bourdaud [4].

Cite this article

Jürgen Marschall, Weighted $L^{P}$ -Estimates for Pseudo-Differential Operators with Non-Regular Symbols. Z. Anal. Anwend. 10 (1991), no. 4, pp. 493–501

DOI 10.4171/ZAA/470