𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Pseudodifferential operators with compound non-regular symbols

✍ Scribed by Yu. I. Karlovich

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
252 KB
Volume
280
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

Let V (ℝ) denote the Banach algebra of absolutely continuous functions of bounded total variation on ℝ. We study an algebra 𝔅 of pseudodifferential operators of zero order with compound slowly oscillating V (ℝ)‐valued symbols (x, y) ↦ a (x, y, Β·) that satisfy a Lipschitz condition with respect to the spatial variables x, y ∈ ℝ. Sufficient conditions for the boundedness and compactness of pseudodifferential operators with compound symbols on the Lebesgue spaces L^p^ (ℝ), for p = 2 and 1 < p < ∞, are obtained. A Fredholm criterion and an index formula for pseudodifferential operators A ∈ 𝔅 are presented. (Β© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

πŸ“œ SIMILAR VOLUMES

Pseudodifferential operators with real a
Pseudodifferential operators with real analytic symbols and approximation methods for pseudodifferential equations
✍ Tran Duc Van; Dinh Nho HΓ o πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 1010 KB

## Abstract This paper introduces some methods (including an approximation method) for investigating pseudodifferential equations and related problems (Cauchy problems, boundary value problems,…) based on the technique of pseudodifferential operators with real analytic symbols.