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
Göteborgs universitet
Chalmers, Matematiska vetenskaper, Matematik
Nikolay Shirokov
National Research University Higher School of Economics
Saint Petersburg State University - Spsu
Proceedings of the London Mathematical Society
0024-6115 (ISSN) 1460-244X (eISSN)
Vol. 109 5 1281-1303Fundament
Grundläggande vetenskaper
Ämneskategorier
Matematisk analys
DOI
10.1112/plms/pdu038