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Inequalities for Rational Functions

✍ Scribed by Evsey Dyn'kin

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 284 KB
Volume: 91
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.1996.3104

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✦ Synopsis

A new hyperbolic area estimate for the level sets of finite Blaschke products is presented.

The following inversion of the usual Sobolev embedding theorem is proved:

Here r is a rational function of degree n with poles outside D. This estimate implies a new inverse theorem for rational approximation of analytic functions with respect to area L p norm. 1997 Academic Press Cn 1Â p &r& BMO(T) . (0.3) article no. AT963104 349

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