The Hardy space of solutions to first-order elliptic systems

DOI10.1134/S1064562407050067zbMath1159.30035MaRDI QIDQ957754

Alexandr P. Soldatov

Publication date: 1 December 2008

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

sup-normHardy spacesfirst-order elliptic systempiecewise Lyapunov contour\(J\)-analytic functionblock-diagonal formgeneralized Cauchy-type integralSokhotskii-Plemelj formula

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05)

Related Items (6)

Some remarks on solvability of Dirichlet problem for Laplace equation in non-standard function spaces ⋮ The Riemann-Hilbert problem in Hardy classes for general first-order elliptic systems ⋮ HARDY SPACES, APPROXIMATION ISSUES AND BOUNDARY VALUE PROBLEMS ⋮ Representations of the ``second kind for the Hardy classes of solutions to the Beltrami equation ⋮ The Schwarz problem for Douglis analytic functions ⋮ О решениях задачи Шварца для $J$-аналитических функций с одинаковым жордановым базисом действительной и мнимой части матрицы $J$

Cites Work

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• Weighted Hardy classes of analytic functions
• Seminar on Atiyah-Singer Index Theorem. (AM-57)
• A function‐theoretic approach to elliptic systems of equations in two variables

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