Kernels of unbounded Toeplitz operators and factorization of symbols
Autor: | Câmara, M. Cristina, Malheiro, M. Teresa, Partington, Jonathan R. |
---|---|
Rok vydání: | 2020 |
Předmět: | |
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: |