Phragmén-Lindelöf Principle

1994 ◽  
pp. 117-136
Author(s):  
Marvin Rosenblum ◽  
James Rovnyak
Keyword(s):  
Lindelöf Principle

scholarly journals A Phragmén - Lindelöf principle for slice regular functions

2011 ◽  
Vol 18 (4) ◽  
pp. 749-759 ◽  
Author(s):  
Graziano Gentili ◽  
Caterina Stoppato ◽  
Daniele C. Struppa
Keyword(s):  
Slice Regular Functions ◽  
Regular Functions ◽  
Lindelöf Principle

The Lindelöf principle in ℂn

2013 ◽  
Vol 11 (10) ◽  
Author(s):  
Peter Dovbush
Keyword(s):  
Holomorphic Function ◽  
Bounded Domain ◽  
Lipschitz Condition ◽  
Function Theory ◽  
Riemann Sphere ◽  
Normal Function ◽  
Complex Variables ◽  
Several Complex Variables ◽  
Kobayashi Metric ◽  
Lindelöf Principle

AbstractLet D be a bounded domain in ℂn. A holomorphic function f: D → ℂ is called normal function if f satisfies a Lipschitz condition with respect to the Kobayashi metric on D and the spherical metric on the Riemann sphere ̅ℂ. We formulate and prove a few Lindelöf principles in the function theory of several complex variables.

Estimates for critical Mach number under isoperimetric constraints

1995 ◽  
Vol 6 (5) ◽  
pp. 385-398 ◽  
Author(s):  
F. G. Avkhadiev ◽  
A. M. Elizarov ◽  
D. A. Fokin
Keyword(s):  
Mach Number ◽  
Subsonic Flow ◽  
Chaplygin Gas ◽  
Ideal Gas ◽  
Open Problems ◽  
Inverse Boundary ◽  
Critical Mach Number ◽  
Lindelöf Principle ◽  
Isoperimetric Constraints ◽  
Upper Estimate

The problem of maximization of the critical Mach number in a subsonic flow of an ideal gas is considered. The Chaplygin gas approximation and the integral representation of the solution of the inverse boundary-value problem of aerohydrodynamics are used to reduce the problem to a special minimax one. The exact solution of the latter is obtained on the basis of the Lindelöf principle. An upper estimate for the critical Mach number is obtained. The results are generalized for the case of airfoil cascades. Some open problems are described.

On the Lindelof Principle

1955 ◽  
Vol 61 (3) ◽  
pp. 440 ◽  
Author(s):  
Maurice Heins
Keyword(s):  
Lindelöf Principle

On the Phragmen-Lindelof Principle

1946 ◽  
Vol 60 (2) ◽  
pp. 238 ◽  
Author(s):  
Maurice Heins
Keyword(s):  
Lindelöf Principle

scholarly journals The Lindelöf principle and angular derivatives in convex domains of finite type

2002 ◽  
Vol 73 (2) ◽  
pp. 221-250 ◽  
Author(s):  
Marco Abate ◽  
Roberto Tauraso
Keyword(s):  
Finite Type ◽  
Boundary Behaviour ◽  
Convex Domains ◽  
Kobayashi Distance ◽  
Angular Derivatives ◽  
Circular Domains ◽  
Lindelöf Principle ◽  
Real Analytic ◽  
Bounded Convex ◽  
Carathéodory Theorem

AbstractWe describe a generalization of the classical Julia-Wolff-Carathéodory theorem to a large class of bounded convex domains of finite type, including convex circular domains and convex domains with real analytic boundary. The main tools used in the proofs are several explicit estimates on the boundary behaviour of Kobayashi distance and metric, and a new Lindelöf principle.

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