On uniform approximation of harmonic functions

DOI10.1090/S1061-0022-2012-01215-XzbMath1273.31002MaRDI QIDQ2849067

Maxim Ya Mazalov

Publication date: 16 September 2013

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

singular integralsuniform approximationCarleson measuresharmonic functionscapacities

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Approximations and expansions (41A99) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (2)

A criterion for uniform approximability of individual functions by solutions of second-order homogeneous elliptic equations with constant complex coefficients ⋮ Uniform approximation of functions by solutions of second order homogeneous strongly elliptic equations on compact sets in

Cites Work

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• On the uniform approximation problem for the square of the Cauchy-Riemann operator
• Removable singularities of solutions of linear partial differential equations
• $ C^1$-approximation and extension of subharmonic functions
• A criterion for uniform approximability on arbitrary compact sets for solutions of elliptic equations
• Uniform and $ C^1$-approximability of functions on compact subsets of $ \mathbb R^2$ by solutions of second-order elliptic equations
• Some new criteria for uniform approximability of functions by rational fractions
• Uniform approximations by bianalytic functions on arbitrary compact subsets of $ \mathbb C$
• A Notion of Capacity Which Characterizes Removable Singularities

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