Publikation: Mapping properties for operator-valued pseudodifferential operators on toroidal Besov spaces
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2018
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Journal of Pseudo-Differential Operators and Applications. 2018, 9(3), pp. 523-538. ISSN 1662-9981. eISSN 1662-999X. Available under: doi: 10.1007/s11868-017-0224-x
Zusammenfassung
In this paper, we consider pseudodifferential operators on the torus with operator-valued symbols and prove continuity properties on vector-valued toroidal Besov spaces, without assumptions on the underlying Banach spaces. The symbols are of limited smoothness with respect to x and satisfy a finite number of estimates on the discrete derivatives. The proof of the main result is based on a description of the operator as a convolution operator with a kernel representation which is related to the dyadic decomposition appearing in the definition of the Besov space.
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510 Mathematik
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BARRAZA MARTÍNEZ, Bienvenido, Robert DENK, Jairo HERNÁNDEZ MONZÓN, Max NENDEL, 2018. Mapping properties for operator-valued pseudodifferential operators on toroidal Besov spaces. In: Journal of Pseudo-Differential Operators and Applications. 2018, 9(3), pp. 523-538. ISSN 1662-9981. eISSN 1662-999X. Available under: doi: 10.1007/s11868-017-0224-xBibTex
@article{BarrazaMartinez2018Mappi-39401.2,
year={2018},
doi={10.1007/s11868-017-0224-x},
title={Mapping properties for operator-valued pseudodifferential operators on toroidal Besov spaces},
number={3},
volume={9},
issn={1662-9981},
journal={Journal of Pseudo-Differential Operators and Applications},
pages={523--538},
author={Barraza Martínez, Bienvenido and Denk, Robert and Hernández Monzón, Jairo and Nendel, Max}
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