Results 1 to 10 of about 26,837 (159)

On a generalization of the corona problem [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1986
Let g,f1,…,fm∈H∞(Δ). We provide conditions on f1,…,fm in order that |g(z)|≤|f1(z)|+…+|fm(z)|, for all z in Δ, imply that g, or g2, belong to the ideal generated by f1,…,fm in H∞.
Graziano Gentili, Daniele C. Struppa
doaj   +5 more sources

The ultrametric corona problem [PDF]

open access: yesP-Adic Numbers, Ultrametric Analysis, and Applications, 2009
Let $K$ be a complete ultrametric algebraically closed field and let $A$ be the $K$-Banach algebra of bounded analytic functions in the disk $D:\ |x|
A Escassut
exaly   +6 more sources

On the Corona Problem for Strongly Pseudoconvex Domains

open access: yesAnalysis Mathematica, 2022
In this note we solve that the corona problem for strongly pseudoconvex domains under a certain assumption on the level sets of the corona data.
exaly   +4 more sources

A New Estimate for the Vector Valued Corona Problem

open access: yesJournal of Functional Analysis, 2002
In this paper the author gives an improved estimate in the vector valued corona theorem for the unit disk. His proof splits into two parts: first, he resurrects the operator corona theorem from the 1970s, and then he uses a Hilbert space argument, based on a version of Wolff's ideas. Since he uses Hilbert space methods, the Riesz representation theorem
Tavan T Trent
exaly   +3 more sources

The Bezout-Corona Problem Revisited: Wiener Space Setting [PDF]

open access: yesComplex Analysis and Operator Theory, 2015
The matrix-valued {Bezout-corona} problem $G(z)X(z)=I_m$, $|z|<1$, is studied in a Wiener space setting, that is, the given function $G$ is an analytic matrix function on the unit {disc} whose Taylor coefficients are absolutely summable and the same is required for the solutions $X$. It turns out that all Wiener solutions can be described explicitly
M A Kaashoek, S Ter Horst, S ter Horst
exaly   +5 more sources

Estimates for the corona problem

open access: yesJournal of Functional Analysis, 1980
Abstract Estimates are given for solutions of the corona problem for H∞ of the upper half plane or unit disk. Roughly speaking, our results assert that if at every point one corona datum is large, then small corona solutions may be obtained. Our methods use heavily the theory of functions of bounded mean oscillation and in particular, a result of ...
exaly   +2 more sources

Corona theorem for strictly pseudoconvex domains [PDF]

open access: yesOpuscula Mathematica, 2021
Nearly 60 years have passed since Lennart Carleson gave his proof of Corona Theorem for unit disc in the complex plane. It was only recently that M. Kosiek and K. Rudol obtained the first positive result for Corona Theorem in multidimensional case. Using
Sebastian Gwizdek
doaj   +1 more source

Structural Modeling of Problem Solving Styles and Corona Anxiety in Students with an Emphasis on the Mediating Role of self-efficacy [PDF]

open access: yesپژوهش‌های علوم شناختی و رفتاری, 2021
The current research aim was purpose conducted the mediating role of self-efficacy in the relationship between problem solving styles and corona anxiety in a correlation design.
houshang garavand
doaj   +1 more source

Chromospheric Jets and Their Properties [PDF]

open access: yesIranian Journal of Astronomy and Astrophysics, 2022
In this study we review solar chromospheric jets and characteristics of them. The chromosphere and transition region are the interface between the solar photosphere and the corona, which plays a key role in the formation and acceleration of the solar ...
Ehsan Tavabi, Sima Zeighami
doaj   +1 more source

Cardiac Manifestation of the Patients with Novel Wuhan Coronavirus Infection: A Clinical Summary on Patients in the First Month of Outbreak [PDF]

open access: yesLiaquat National Journal of Primary Care, 2020
Dear Editor, In December 2019, a new emerging viral disease was firstly reportedfromWuhan,China.Thenovel coronavirus infection is a new febrile illness that is associated with pneumonia [1].
Pathum Sookaromdee, Viroj Wiwanitkit
doaj   +1 more source

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