Weighted polynomial inequalities in the complex plane
نویسندگان
چکیده
منابع مشابه
Weighted Polynomial Approximation in the Complex Plane
Given a pair (G,W ) of an open bounded set G in the complex plane and a weight function W (z) which is analytic and different from zero in G, we consider the problem of the locally uniform approximation of any function f(z), which is analytic in G, by weighted polynomials of the form {Wn(z)Pn(z)}n=0, where deg Pn ≤ n. The main result of this paper is a necessary and sufficient condition for suc...
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for some fixed large N0; we shall call such weights admissible. Rubio de Francia [11] showed that for every w ∈ L(R) there is a nonnegative W ∈ L(R) such that ‖W‖2 ≤ Cλ‖w‖2, Cλ < ∞ if λ > 0, and the analogous weighted norm inequality for S t holds uniformly in t. He used methods related to factorization theory of operators and the proof gave no information on how to construct w from W . In [3] ...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2012
ISSN: 0021-9045
DOI: 10.1016/j.jat.2012.05.012