Products of Toeplitz and Hankel Operators on Fock Spaces

Autor:	Fugang Yan, Dechao Zheng
Rok vydání:	2020
Předmět:	Polynomial Algebra and Number Theory Hankel operator 010102 general mathematics 01 natural sciences Toeplitz matrix Fock space Combinatorics Product (mathematics) Bounded function 0103 physical sciences 010307 mathematical physics 0101 mathematics Analysis Mathematics Toeplitz operator
Zdroj:	Integral Equations and Operator Theory. 92
ISSN:	1420-8989 0378-620X
Popis:	In this paper, we characterize bounded Toeplitz product $$T_fT_{g}$$ and Hankel product $$H_f^{*}H_g$$ on Fock space $$F_{\alpha }^2$$ for two polynomials f and g in z and $${\overline{z}}$$ . As a consequence, we obtain when Toeplitz operator $$T_f$$ or Hankel operator $$H_f$$ with the polynomial symbol f in z and $${\overline{z}}$$ is bounded.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1d5b17a051d22a86588f874624a07faa https://doi.org/10.1007/s00020-020-02577-6 Zobrazit plný text záznamu Full text from SpringerLink