scholarly journals Boundary value estimation of the range of an analytic function.

1978 ◽  
Vol 25 (2) ◽  
pp. 197-211 ◽  
Author(s):  
D. L. Burkholder
Keyword(s):  
Analytic Function ◽  
Boundary Value ◽  
Value Estimation

scholarly journals Giải bài toán Carleman suy rộng trên trục thực bằng phương pháp chiếu lặp trên cơ sở phép chiếu bình phương tối thiểu

2018 ◽  
Vol 6 (1) ◽  
pp. 4-11
Author(s):  
Le Xuan Quang
Keyword(s):  
Analytic Function ◽  
Iterative Method ◽  
Real Axis ◽  
Half Plane ◽  
Boundary Value ◽  
Continuous Functions ◽  
Lower Half Plane ◽  
Hölder Continuous ◽  
Carleman Problem ◽  
Hölder Continuous Functions

 In this paper the projection iterative method is used for solving the generalized Carleman problem A(t) F+(t) + B(t) F+(-t) + C(t) F-(t) = h(t), tÎR Where R is the real axis; A(t), B(t), C(t) are Holder continuous functions;  h(t)ÎL2, and  F+(t), F-(t) is a boundary value of analytic function upper (lower) half-plane.

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