In this paper we investigate some extremal problems on subordinate A p functions. Previous article in issue; Next article in issue. Keywords. Bergman space.
By using techniques derived from the theory of stochastic differential equations, we prove that a class of second order degenerate elliptic operators having�...
Some extremal problems on subordinate functions. Zhigang Peng. Faculty of Mathematics and Computer Science, Hubei University, Wuhan 430062, China.
Jan 8, 2023 � In complex analysis subordination is a sort of holomoprhic replacement for inequalities f≤g that make sense only for real functions.
In recent years the classical Schwarz lemma has been generalized in at least two important ways. The first way is the following. Let D be any plane domain.
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account that in the case b=0 the extremal functions are odd, we see that our results solve the problems stated above �for subclasses consisting of odd functions�...
This paper examines the set of extreme points of the con- vex hull of families of analytic functions defined through sub- ordination.
The proof follows by the method of variations used in the proof of Theorem 1, but an independent proof by the method of subordination suffices and is simpler.
Each problem has a solution as St(a-) is compact and the functionals are continuous. As pointed out by Golusin in [5], any function which maximizes. |D[log�...
"Some extremal problems on subordinate functions." Applied Mathematics Letters 22, no. 11 (November 2009): 1670–73. http://dx.doi.org/10.1016/j.aml.2009.05�...