February 8, 2024Open Access

New Properties of Holomorphic Sobolev-Hardy Spaces

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Abstract

We give new characterizations of the optimal data space for the Lᵖ (bD, ) -Neumann boundary value problem for the operator associated to a bounded, Lipschitz domain D. We show that the solution space is embedded (as a Banach space) in the Dirichlet space and that for p=2, the solution space is a reproducing kernel Hilbert space.

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Gryc et al. (Thu,) studied this question.

synapsesocial.com/papers/68e7b940b6db64358770fa8a https://doi.org/https://doi.org/10.48550/arxiv.2402.05670

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