Right inverses for partial differential operators on Fourier hyperfunctions

• Autorzy: Michael Langenbruch
• Języki publikacji: EN

Abstrakty

EN

We characterize the partial differential operators P(D) admitting a continuous linear right inverse in the space of Fourier hyperfunctions by means of a dual (Ω̅)-type estimate valid for the bounded holomorphic functions on the characteristic variety $V_{P}$ near $ℝ^{d}$. The estimate can be transferred to plurisubharmonic functions and is equivalent to a uniform (local) Phragmén-Lindelöf-type condition.

Kategorie tematyczne

• 35E20: General theory
• 46F15: Hyperfunctions, analytic functionals
• 46A63: Topological invariants ((DN), ( Ω ), etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 183
• Numer: 3
• Strony: 273-299

Daty

wydano

2007

Twórcy

autor

Michael Langenbruch

• Department of Mathematics, University of Oldenburg, D-26111 Oldenburg, Germany

Identyfikatory

DOI

10.4064/sm183-3-5