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A generalization of the corona theorem in the unit disc

open access: yesMathematische Zeitschrift, 1990
The purpose of this note is to prove a variant of the corona theorem in the unit disc without using the notation of Carleson measure or any particular duality or factorization theorem for analytic functions. The corona theorem was first proved by Carleson [1]. For more background and further references, see Gamelin 1-2] and Garnett I-3, 4].
openaire   +1 more source

Fractional optimal control of COVID-19 pandemic model with generalized Mittag-Leffler function. [PDF]

open access: yesAdv Differ Equ, 2021
Khan A   +5 more
europepmc   +1 more source

A Toeplitz corona theorem for the pentablock and applications

open access: yes
We state and prove a Toeplitz corona theorem for the pentablock $\mathbb{P}$, a domain in $\mathbb{C}^3$ given by \[ \mathbb{P}=\{(a_{21}, \text{tr}(A), \det(A)) \in \mathbb C^3 : A=[a_{ij}] \in M_2(\mathbb C), \|A\|<1\}. \] By two different applications of this theorem, we obtain a few new characterizations in the Toeplitz corona theorems for the ...
Pal, Sourav, Tomar, Nitin
openaire   +2 more sources

The reflexive edge strength on some almost regular graphs. [PDF]

open access: yesHeliyon, 2021
Agustin IH   +4 more
europepmc   +1 more source

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