Mathematical Research Letters

Volume 27 (2020)

Number 6

Generalizations of theorems of Nishino and Hartogs by the $L^2$ method

Pages: 1867 – 1884

DOI: https://dx.doi.org/10.4310/MRL.2020.v27.n6.a12

Author

Takeo Ohsawa (Graduate School of Mathematics, Nagoya University, Nagoya, Japan)

Abstract

Three different generalizations will be given for Nishino’s rigidity theorem asserting the triviality of Stein families of $\mathbb{C}$ over the polydisc, in connection to generalizations of Hartogs’s theorem on the analyticity criterion for continuous functions.

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To the memory of Professor Akira Takeuchi

Received 23 December 2019

Accepted 23 September 2020

Published 17 February 2021