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Zeitschrift für Analysis und ihre Anwendungen

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Volume 7, Issue 2, 1988, pp. 149–163
DOI: 10.4171/ZAA/292

Published online: 1988-04-30

Stekloffsche Eigenwerte und konforme Abbildungen

Bodo Dittmar[1]

(1) Universität Halle-Wittenberg, Germany

New isoperimetric inequalities between Stekloff eigenvalues and function theoretic quantities in simply and multiply connected domains are derived. They sharpen on the one hand well-known isoperimetric inequalities in some cases and given on the other hand both-sided estimates for function theoretic quantities. In the simply connected case both-sided estimates for Stekloff eigenvalues are given based on a general monotonicity principle.

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Dittmar Bodo: Stekloffsche Eigenwerte und konforme Abbildungen. Z. Anal. Anwend. 7 (1988), 149-163. doi: 10.4171/ZAA/292