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The modulus of the boundary values of bounded analytic functions of several variables
| Content Provider | Semantic Scholar |
|---|---|
| Author | Jacewicz, Chester Alan |
| Copyright Year | 1973 |
| Abstract | 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. |
| Starting Page | 253 |
| Ending Page | 261 |
| Page Count | 9 |
| File Format | PDF HTM / HTML |
| DOI | 10.1090/S0002-9947-1973-0311931-3 |
| Volume Number | 176 |
| Alternate Webpage(s) | http://www.ams.org/journals/tran/1973-176-00/S0002-9947-1973-0311931-3/S0002-9947-1973-0311931-3.pdf |
| Alternate Webpage(s) | https://doi.org/10.1090/S0002-9947-1973-0311931-3 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
