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arXiv · 1801.10553

Some particular norm in the Sobolev space $H^{1}[a,b].$

Edward Tutaj
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Abstract

This paper is a continuation of the recent paper of the author, where a certain reproducing kernel Hilbert space $X_{\mathcal{S}}$ was constructed. The norm in $X_{\mathcal{S}}$ is related to a certain generalized isoperimetric inequality in ${\mathbb R^2}$. In the present paper we give an alternative description of the space $X_{\mathcal{S}}$, which appears to be a Sobolev space $H^{1}[a,b]$ with some special norm.

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Edward Tutaj. 2018-01-31. Some particular norm in the Sobolev space $H^{1}[a,b].$. https://arxiv.org/abs/1801.10553

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