PSEUDO-DIFFERENTIAL CALCULUSIN A BARGMANN SETTING

摘要

We give a fundament for Berezin's analytic doconsidered in [4] in terms of Bargmann imagesof Pilipovi spaces. We deduce basic continuity results for suchdo, especially when the operator kernels are in suitablemixed weighted Lebesgue spaces andact on certain weighted Lebesgue spaces ofentire functions. In particular, we show how these results imply well-knowncontinuity results for real do with symbols in modulationspaces, when acting on other modulation spaces.