Extreme points and unicity of extremum problems in H¹ on polydiscs

Morisuke Hasumi

Vol. 44 (1973), No. 2, 523–535

DOI: 10.2140/pjm.1973.44.523

Abstract

In his recent work, K. Yabuta tries to extend the classical results of deLeeuw and Rudin on extreme points and extremum problems in the Hardy class H¹ on the unit disc to the n-dimensional case. In this paper, it is shown that simple induction arguments provide some extension of the results as well as simplification of the arguments in Yabuta’s work.

Mathematical Subject Classification 2000

Primary: 32A30

Milestones

Received: 29 October 1971

Revised: 23 December 1971

Published: 1 February 1973