Kernels of unbounded Toeplitz operators and factorization of symbols

Autor:	Câmara, M. Cristina, Malheiro, M. Teresa, Partington, Jonathan R.
Rok vydání:	2020
Předmět:	Mathematics - Functional Analysis Mathematics - Complex Variables 45E10 47B35 47A68
Druh dokumentu:	Working Paper
Popis:	We consider kernels of unbounded Toeplitz operators in $H^p(\mathbb C^+)$ in terms of a factorization of their symbols. We study the existence of a minimal Toeplitz kernel containing a given function in $H^p(\mathbb C^+)$, we describe the kernels of Toeplitz operators whose symbol possesses a certain factorization involving two different Hardy spaces and we establish relations between the kernels of two operators whose symbols differ by a factor which corresponds, in the unit circle, to a non-integer power of $z$. We apply the results to describe the kernels of Toeplitz operators with non-vanishing piecewise continuous symbols. Comment: 31 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2004.09985 Zobrazit plný text záznamu View this record from Arxiv