Zobrazeno 1 - 10
of 98
pro vyhledávání: '"Dechao Zheng"'
Autor:
Shengkun Wu, Dechao Zheng
Publikováno v:
Acta Mathematica Scientia. 43:387-408
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::78df0fc28bd77dae175cc067c987d760
https://doi.org/10.1007/s10473-023-0122-7
https://doi.org/10.1007/s10473-023-0122-7
Publikováno v:
Arkiv foer Matematik; 2023, Vol. 61 Issue 2, p343-374, 32p
Autor:
Hansong Huang, Dechao Zheng
Publikováno v:
Canadian Mathematical Bulletin. 65:123-133
In this paper, we will show that the unitary equivalence of two multiplication operators on the Bergman spaces on polygons depends on the geometry of the polygon.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::672d49d1948693c63b6222e567cd0b04
https://doi.org/10.4153/s0008439521000151
https://doi.org/10.4153/s0008439521000151
Publikováno v:
Journal of Functional Analysis. 277:2644-2663
For entire functions f and g we study the problem of when the Hankel product H f ‾ ⁎ H g ‾ is bounded or compact on the Fock space F α 2 . This is a companion to Sarason's Toeplitz product problem which was completely solved for the Fock space
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5fb3aa2e47c5e2f7cd42e5ddc6f59577
https://doi.org/10.1016/j.jfa.2019.01.003
https://doi.org/10.1016/j.jfa.2019.01.003
Autor:
Fugang Yan, Dechao Zheng
Publikováno v:
Banach J. Math. Anal. 13, no. 2 (2019), 386-406
In this paper, we obtain a sufficient condition for Toeplitz operators with locally integrable symbols to be bounded and compact on the Bergman space $L_{a}^{p}$ with $1\lt p\lt \infty$ in terms of generalized Carleson squares.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4096f8bd5b56860bb5ea9864376aee3a
https://doi.org/10.1215/17358787-2018-0043
https://doi.org/10.1215/17358787-2018-0043
Publikováno v:
Journal of Mathematical Analysis and Applications. 472:894-919
In this paper, we study the spectrum of Toeplitz operators on the Dirichlet space D with bounded conjugate analytic symbols and give a characterization of the kernels of Toeplitz operators with harmonic symbols in P ‾ + M ( D ) . Using this charact
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::92916c910281f06a2db7c869f2778983
https://doi.org/10.1016/j.jmaa.2018.11.056
https://doi.org/10.1016/j.jmaa.2018.11.056
Autor:
Dechao Zheng, Pan Ma
Publikováno v:
Proceedings of the American Mathematical Society. 147:2573-2582
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5f2dbf028c3b3744d15c1c87cbcb6f64
https://doi.org/10.1090/proc/14399
https://doi.org/10.1090/proc/14399
Publikováno v:
Integral Equations and Operator Theory. 92
In this paper, we study the asymptotic behavior of the determinants of Bergman–Toeplitz matrices with symbols in $$H^{\infty }({\mathbb {D}})+C(\overline{{\mathbb {D}}})$$ . We establish a criterion of the asymptotic invertibility and an asymptotic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e046449aaf9e5e50b43b54df5176daaa
https://doi.org/10.1007/s00020-020-02606-4
https://doi.org/10.1007/s00020-020-02606-4
Autor:
Fugang Yan, Dechao Zheng
Publikováno v:
Integral Equations and Operator Theory. 92
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$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1d5b17a051d22a86588f874624a07faa
https://doi.org/10.1007/s00020-020-02577-6
https://doi.org/10.1007/s00020-020-02577-6
Publikováno v:
Proceedings of the American Mathematical Society. 146:5235-5242
In this paper, we obtain sufficient and necessary conditions for big truncated Hankel operators on model spaces to be zero, or of finite rank or compact. Our main tools are the properties of Hardy Hankel operators and function algebras.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::84c120b5580bd205a9055eb48bd88e33
https://doi.org/10.1090/proc/14179
https://doi.org/10.1090/proc/14179