Zobrazeno 1 - 10
of 202
pro vyhledávání: '"Chalendar, I."'
In this paper, we revisit the Riemann--Liouville analytic semigroup. In particular, we completely characterize the membership to the Schatten class $S^r$ on $L^2(0,1)$, as well as the membership to the class of nuclear operators on $L^p(0,1)$, $p\geq
Externí odkaz:
http://arxiv.org/abs/2404.19540
Autor:
Chalendar, I., Partington, J. R.
Let $f$ and $g$ be analytic functions on the open unit disc $\mathbb D$ such that $|f|=|g|$ on a set $A$. We give an alternative proof of the result of Perez that there exists $c$ in the unit circle $\mathbb T$ such that $f=cg$ when $A$ is the union
Externí odkaz:
http://arxiv.org/abs/2403.16255
A complete characterisation is given of all the linear isometries of the Fr\'echet space of all holomorphic functions on the unit disc, when it is given one of the two standard metrics: these turn out to be weighted composition operators of a particu
Externí odkaz:
http://arxiv.org/abs/2402.14671
The following version of the Lumer-Phillips is proved: a surjective dissipative operator is m-dissipative and invertible. The result remains true if dissipative linear relations (i.e multivalued operators) are considered. The main purpose of this art
Externí odkaz:
http://arxiv.org/abs/2305.00500
Autor:
Chalendar, I., Partington, J. R.
This paper characterises the boundedness and compactness of Agler--McCarthy monomial operators by reducing them to weighted composition operators and deriving explicit Carleson measure criteria on the half-plane. The results are illustrated by exampl
Externí odkaz:
http://arxiv.org/abs/2212.02172
Autor:
Chalendar, I., Partington, J. R.
This paper considers composition operators on Zen spaces (a class of weighted Bergman spaces of the right half-plane related to weighted function spaces on the positive half-line by means of the Laplace transform). Generalizations are given to work o
Externí odkaz:
http://arxiv.org/abs/2204.05894
Autor:
Chalendar, I., Partington, J. R.
This paper is based on three hours of lectures given by the first author in the "Focus Program on Analytic Function Spaces and their Applications" July 1 -- December 31, 2021, organized by the Fields Institute for Research in Mathematical Sciences. T
Externí odkaz:
http://arxiv.org/abs/2201.09249
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 December 2024 540(1)
In this article we study the spectrum $\sigma(T)$ and Waelbroeck spectrum $\sigma_W(T)$ of a weighted composition operator $T$ induced by a rotation on $\Hol(\D)$ and given by $$Tf(z)=m(z)f(\beta z) \ \ \ (z\in \D)$$ where $m\in \Hol(\D)$, $\beta\in
Externí odkaz:
http://arxiv.org/abs/2108.08270
Autor:
Chalendar, I., Partington, J. R.
This paper considers discrete and continuous semigroups of (weighted) composition operators on the Fock space. For discrete semigroups consisting of powers of a single operator, the asymptotic behaviour of the semigroups is analysed. For continuous s
Externí odkaz:
http://arxiv.org/abs/2106.00427