Some weighted estimates for the ∂̅-equation and a finite rank theorem for Toeplitz operators in the Fock space
Artikel i vetenskaplig tidskrift, 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

Författare

Grigori Rozenblioum

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Nikolay Shirokov

National Research University Higher School of Economics

Saint Petersburg State University

Proceedings of the London Mathematical Society

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

Vol. 109 1281-1303

Fundament

Grundläggande vetenskaper

Ämneskategorier

Matematisk analys

DOI

10.1112/plms/pdu038