Zobrazeno 1 - 10
of 109
pro vyhledávání: '"Virtanen, Jani"'
Using the notion of integral distance to analytic functions, we give a characterization of Schatten class Hankel operators acting on doubling Fock spaces on the complex plane and use it to show that for $f\in L^{\infty}$, if $H_{f}$ is Hilbert-Schmid
Externí odkaz:
http://arxiv.org/abs/2312.06656
Autor:
O'Loughlin, Ryan, Virtanen, Jani
For a matrix $A$ which satisfies Crouzeix's conjecture, we construct several classes of matrices from $A$ for which the conjecture will also hold. We discover a new link between cyclicity and Crouzeix's conjecture, which shows that Crouzeix's Conject
Externí odkaz:
http://arxiv.org/abs/2306.12183
Autor:
Hu, Zhangjian, Virtanen, Jani A.
In their previous work, the authors proved the Berger-Coburn phenomenon for compact and Schatten $S_p$ class Hankel operators $H_f$ on generalized Fock spaces when $1
Externí odkaz:
http://arxiv.org/abs/2304.09716
We say that $\Gamma$, the boundary of a bounded Lipschitz domain, is locally dilation invariant if, at each $x\in \Gamma$, $\Gamma$ is either locally $C^1$ or locally coincides (in some coordinate system centred at $x$) with a Lipschitz graph $\Gamma
Externí odkaz:
http://arxiv.org/abs/2301.12208
Autor:
Virtanen, Jani A.
In this note known formulas for the product of Toeplitz operators are revisited in the context of their applications to the study of Fredholmness, boundedness of Toeplitz products, and the Berezin-Toeplitz quantization. A few open problems are also m
Externí odkaz:
http://arxiv.org/abs/2205.12345
Autor:
O'Loughlin, Ryan, Virtanen, Jani
Publikováno v:
In Linear Algebra and Its Applications 15 September 2024 697:277-292
Autor:
Hu, Zhangjian, Virtanen, Jani A.
Publikováno v:
Anal. PDE 16 (2023), no.9, 2041-2077
We introduce a new space IDA of locally integrable functions whose integral distance to holomorphic functions is finite, and use it to completely characterize boundedness and compactness of Hankel operators on weighted Fock spaces. As an application,
Externí odkaz:
http://arxiv.org/abs/2111.04821
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 December 2024 540(2)
Autor:
Hu, Zhangjian, Virtanen, Jani A.
Publikováno v:
J. Geom. Anal. 32 (2022), no. 4, Paper No. 106, 29 pp
Recently the authors characterized the Fredholmn properties of Toeplitz operators on weighted Fock spaces when the Laplacian of the weight function is bounded below and above. In the present work the authors extend their characterization to doubling
Externí odkaz:
http://arxiv.org/abs/2110.00743
Autor:
Taskinen, Jari, Virtanen, Jani A.
Inspired by our previous work on the boundedness of Toeplitz operators, we introduce weak BMO and VMO type conditions, denoted by BWMO and VWMO, respectively, for functions on the open unit disc of the complex plane. We show that the average function
Externí odkaz:
http://arxiv.org/abs/2106.11734