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.

Full Text (PDF format)

To the memory of Professor Akira Takeuchi

Received 23 December 2019

Accepted 23 September 2020

Published 17 February 2021