Work

Sharp subelliptic estimates in the $\bar\partial$-Neumann problem via an uncertainty principle

Year: 2023

Type: preprint

Abstract: The problem of giving a (CR-)geometric description of the best possible order of a subelliptic estimate at a boundary point in the $\bar\partial$-Neumann problem is largely open. In this paper, we introduce a novel technique based on a "$\bar\partial$-uncertainty principle" and, as an application, we determine the sharp order of subellipticity at the origin for a large class of Kohn's special domains in ambient dimension $\leq 5$.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2310.18246

Authors: Dall'Ara, Gian Maria, Mongodi, Samuele

Institutions: Scuola Normale Superiore, Istituto Nazionale di Alta Matematica Francesco Severi, University of Milano-Bicocca

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4388032102

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