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Almost periodic pseudodifferential operators and Gevrey classes
Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123, Torino (TO), Italy.
Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123, Torino (TO), Italy.
Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123, Torino (TO), Italy.
2012 (English)In: Annali di Matematica Pura ed Applicata, ISSN 0373-3114, E-ISSN 1618-1891, Vol. 191, no 4, p. 725-760Article in journal (Refereed) Published
Abstract [en]

We study almost periodic pseudodifferential operators acting on almost periodic functions G s ap (R d )  of Gevrey regularity index s ≥ 1. We prove that almost periodic operators with symbols of Hörmander type S m ρ,δ   satisfying an s-Gevrey condition are continuous on G s ap (R d )  provided 0 < ρ ≤ 1, δ = 0 and s ρ ≥ 1. A calculus is developed for symbols and operators using a notion of regularizing operator adapted to almost periodic Gevrey functions and its duality. We apply the results to show a regularity result in this context for a class of hypoelliptic operators.

Place, publisher, year, edition, pages
Springer, 2012. Vol. 191, no 4, p. 725-760
National Category
Mathematical Analysis
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-27455DOI: 10.1007/s10231-011-0203-4OAI: oai:DiVA.org:lnu-27455DiVA, id: diva2:635820
Available from: 2013-07-05 Created: 2013-07-05 Last updated: 2017-12-06Bibliographically approved

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