Pseudodifferential Operators with Rough Symbols
✍ Scribed by Atanas Stefanov
- Publisher
- SP Birkhäuser Verlag Boston
- Year
- 2009
- Tongue
- English
- Weight
- 506 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1069-5869
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## 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__, ·) that satisfy
## 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.
In this work we shall study a definition of subunit ball for non-negative symbols of sub-elliptic pseudodifferential operators, extending in phase-space the one given by Stein, Nagel, and Wainger in the differential-operator case. Using microlocal methods introduced by Fefferman and Phong, we prove