Vol. 174, No. 2, 1996

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Explicit solutions for the corona problem with Lipschitz data in the polydisc

Steven Krantz and Song-Ying Li

Vol. 174 (1996), No. 2, 443–458
Abstract

This paper contains considerations of various versions of the classical corona problem on domains in complex n-dimensional space. Although we do not solve the H corona problem, we do obtain positive results in other topologies. We also provide explicit constructions for solutions.

Mathematical Subject Classification 2000
Primary: 46J15
Secondary: 30H05, 32A37, 46J20
Milestones
Received: 1 February 1994
Revised: 30 August 1994
Published: 1 June 1996
Authors
Steven Krantz
Department of Mathematics
Washington University in St. Louis
Campus Box 1146
Saint Louis MO 63130
United States
http://www.math.wustl.edu/~sk/
Song-Ying Li
Department of Mathematics
University of California
Irvine CA
United States