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Corona theorem for strictly pseudoconvex domains [PDF]
Opuscula 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
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Machine Learning-Driven Prediction of Microplastic Aging Processes and Environmental Risk Assessment Across Multi-Media Systems. [PDF]
Adv Sci (Weinh)This perspective proposes a cohesive machine learning strategy to decode microplastic aging. It advocates for Federated Learning to dismantle global data silos and introduces the TRACE framework (TRansport, Aging, Corona, Ecotoxicity). By integrating physics‐informed modeling with causal discovery, this approach bridges the laboratory‐field gap to ...
Lyu Y +6 more
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Corona theorem and isometries [PDF]
Opuscula Mathematica, 2004 The aim of this note is to discuss a new operator theory approach to Corona Problem. An equivalent operator problem invariant under unitary equivalence is stated. The related condition involves certain joint spectra of commuting subnormal operators.
Krzysztof Rudol
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Shannon sampling based approach for the structural solution of nano-objects by laboratory and synchrotron SAXS data. [PDF]
J Appl CrystallogrWe present a model‐independent approach based on the Shannon sampling theorem to retrieve key structural parameters of proteins and core–shell micelles directly from small‐angle X‐ray scattering (SAXS) profiles. By bypassing the pair distribution function, the method overcomes q‐truncation artifacts and provides reliable mass, size and aggregation ...
De Caro L +7 more
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Oscillatory Riemann–Hilbert problems and the corona theorem
Journal of Functional Analysis, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M Amélia Bastos
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The Corona theorem for multiplier algebras on weighted Dirichlet spaces
Rocky Mountain Journal of Mathematics, 2013 For \(\alpha\in \;]0,1]\), let \(D_\alpha\) be the weighted Dirichlet space given by \[ \bigg\{f(z)=\sum_{n=0}^\infty a_n z^n \;\Bigl| \Bigr.\;\; ||f||^2_\alpha:=\sum_{n=0}^\infty (n+1)^\alpha|a_n ...
Kidane, B., Trent, T.T.
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Resolving sets of vertices with the minimum size in graphs [PDF]
ریاضی و جامعه, 2023 Suppose that $G$ is a simple connected graph with vertex set $V(G)$ and edge set $E(G)$. A subset $S=\{s_1, s_2,\ldots , s_l \}$ of vertices of graph $G$ is called a doubly resolving set of $G$, if for any distinct vertices $u$ and $v$ in $G$ there are ...
Ali Zafari, Nader Habibi, Saeid Alikhani
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Jambura Journal of Mathematics, 2022 Rainbow vertex-connection number is the minimum k-coloring on the vertex graph G and is denoted by rvc(G). Besides, the rainbow-vertex connection number can be applied to some special graphs, such as prism graph and path graph.
Indrawati Lihawa +5 more
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Alexandria Engineering Journal, 2022 In this manuscript, we formulated a new nonlinear SEIQR fractional order pandemic model for the Corona virus disease (COVID-19) with Atangana-Baleanu derivative. Two main equilibrium points F0∗,F1∗ of the proposed model are stated. Threshold parameter R0
A.I.K. Butt +3 more
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, 2021 Stronger results will appear in a new ...
Kosiek, Marek, Rudol, Krzysztof
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