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New Properties of Holomorphic Sobolev-Hardy Spaces. | LitMetric

New Properties of Holomorphic Sobolev-Hardy Spaces.

Complex Anal Oper Theory

Department of Mathematical Sciences, Purdue University Fort Wayne, Fort Wayne, IN 46805-1499 USA.

Published: December 2024

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

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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC11645319PMC
http://dx.doi.org/10.1007/s11785-024-01637-8DOI Listing

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