Bounded point evaluations and approximation in \(L^p\) by solutions of elliptic partial differential equations

DOI10.1016/0022-1236(78)90077-0zbMath0396.35037OpenAlexW2049851915MaRDI QIDQ1253366

Claes Fernstroem, John C. Polking

Publication date: 1978

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(78)90077-0

zbMATH Keywords

Approximation in Lp-SpaceBessel CapacitiesBounded Point EvaluationHigher Order Elliptic Operator

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Theoretical approximation in context of PDEs (35A35) Higher-order elliptic equations (35J30)

Related Items (8)

Approximation in the Mean by Solutions of Elliptic Equations ⋮ Approximation by rational functions on compact nowhere dense subsets of the complex plane ⋮ Non-tangential limits and bounded point derivations on \(R^2(X)\) ⋮ Bounded point evaluations and balayage ⋮ Boundary values of holomorphic distributions in negative Lipschitz classes ⋮ Bounded point derivations and functions of bounded mean oscillation ⋮ Two approximation problems in function spaces ⋮ Bounded point derivations on certain function spaces

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• On Certain Convolution Inequalities
• A Theory of Capacities for Potentials of Functions in Lebesgue Classes.
• The Equivalence of Two Definitions of Capacity
• Approximation in L p by Solutions of Elliptic Partial Differential Equations

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