Geodesic
Right inverses for partial differential operators on Fourier hyperfunctions
Michael Langenbruch1
1 Department of Mathematics University of Oldenburg D-26111 Oldenburg, Germany
Studia Mathematica, Tome 183 (2007) no. 3, pp. 273-299

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $( \overline{\Omega})$-type estimate valid for the bounded holomorphic functions on the characteristic variety $V_P$ near $\mathbb R^d$. The estimate can be transferred to plurisubharmonic functions and is equivalent to a uniform (local) Phragmén–Lindelöf-type condition.
DOI : 10.4064/sm183-3-5
Keywords: characterize partial differential operators admitting continuous linear right inverse space fourier hyperfunctions means dual overline omega type estimate valid bounded holomorphic functions characteristic variety near mathbb estimate transferred plurisubharmonic functions equivalent uniform local phragm lindel f type condition

Michael Langenbruch 1

1 Department of Mathematics University of Oldenburg D-26111 Oldenburg, Germany 
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Michael Langenbruch. Right inverses for partial differential operators on Fourier hyperfunctions. Studia Mathematica, Tome 183 (2007) no. 3, pp. 273-299. doi: 10.4064/sm183-3-5

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