Continuity of area for harmonic surfaces with boundaries of uniformly bounded length

Carlson, K. H.; Young, L. C.

doi:10.1090/S0002-9939-1952-0046420-9

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Continuity of area for harmonic surfaces with boundaries of uniformly bounded length
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by K. H. Carlson and L. C. Young

Proc. Amer. Math. Soc. 3 (1952), 88-91

DOI: https://doi.org/10.1090/S0002-9939-1952-0046420-9

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References

L. C. Young, On the isoperimetric ratio for a harmonic surface, Proc. London Math. Soc. (2) 49 (1947), 396–408. MR 24151, DOI 10.1112/plms/s2-49.5.396
Marston Morse and C. Tompkins, The continuity of the area of harmonic surfaces as a function of the boundary representations, Amer. J. Math. 63 (1941), 825–838. MR 6027, DOI 10.2307/2371624