NDLI: The Modulus of the Boundary Values of Bounded Analytic Functions of Several Variables

Content Provider	Scilit
Author	Jacewicz, Chester Alan
Copyright Year	1973
Description	One necessary condition and one sufficient condition are given in order that a nonnegative function be the modulus of the boundary values of a bounded analytic function on the polydisc. As a consequence, a weak version of a theorem of F. Riesz is generalized to several variables. For special classes of functions several conditions are given which are equivalent to a function's being the modulus of the boundary values of a bounded analytic function. Finally, an algebraic structure is provided for these special classes of functions.
Related Links	http://www.ams.org/tran/1973-176-00/S0002-9947-1973-0311931-3/S0002-9947-1973-0311931-3.pdf
Ending Page	261
Page Count	9
Starting Page	253
ISSN	00029947
e-ISSN	10886850
DOI	10.2307/1996206
Journal	Transactions of the American Mathematical Society
Volume Number	176
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Logic Analytic Functions Bounded Analytic Boundary Values Modulus Variables
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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The Modulus of the Boundary Values of Bounded Analytic Functions of Several Variables