Let ω be a modulus of continuity,[Figure not available: see fulltext.] be the class of all functions analytic in the unit disk of the complex plane and such that[Figure not available: see fulltext.]. A condition is given (depending essentially on ω), necessary for a nonnegative function defined on the unit circle to coincide with the modulus of some function of class[Figure not available: see fulltext.].
Original language | English |
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Pages (from-to) | 1870-1872 |
Number of pages | 3 |
Journal | Journal of Soviet Mathematics |
Volume | 22 |
Issue number | 6 |
DOIs | |
State | Published - Aug 1983 |
Externally published | Yes |
ID: 86665901