Some weighted estimates for the ∂̅-equation and a finite rank theorem for Toeplitz operators in the Fock space
Journal article, 2014

We consider the ∂¯-equation in C1 in classes of functions with Gaussian decay at infinity. We prove that if the right-hand side of the equation is majorated by exp(−q|z|2), with some positive q, together with derivatives up to some order, and is orthogonal, as a distribution, to all analytical polynomials, then there exists a solution with decays, together with derivatives, as exp(−q′|z|2), for any q′

Toeplitz operators d-bar equaion

Author

Grigori Rozenblioum

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Nikolay Shirokov

National Research University

Saint Petersburg State University - Spsu

Proceedings of the London Mathematical Society

0024-6115 (ISSN) 1460-244X (eISSN)

Vol. 109 5 1281-1303

Roots

Basic sciences

Subject Categories

Mathematical Analysis

DOI

10.1112/plms/pdu038

More information

Latest update

12/29/2020