scholarly journals The Martin compactification of a plane domain

1994 ◽  
Vol 44 (5) ◽  
pp. 1351-1354
Author(s):  
Nikolai S. Nadirashvili
Keyword(s):  
Plane Domain ◽  
Martin Compactification

The Martin Compactification X ∪ ∂ X(λ)

1998 ◽  
pp. 116-130
Author(s):  
Yves Guivarc’h ◽  
Lizhen Ji ◽  
J. C. Taylor
Keyword(s):  
Martin Compactification

scholarly journals On a third order initial boundary value problem in a plane domain

2012 ◽  
Vol 17 (3) ◽  
pp. 312-326
Author(s):  
Neringa Klovienė
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Auxiliary Problem ◽  
Fluid Motion ◽  
Three Dimensional ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Plane Domain ◽  
Third Order ◽  
Initial Boundary Value

Third order initial boundary value problem is studied in a bounded plane domain σ with C4 smooth boundary ∂σ. The existence and uniqueness of the solution is proved using Galerkin approximations and a priory estimates. The problem under consideration appear as an auxiliary problem by studying a second grade fluid motion in an infinite three-dimensional pipe with noncircular cross-section.

Water adsorption induced in-plane domain switching on BaTiO3 surface

2015 ◽  
Vol 118 (9) ◽  
pp. 094104 ◽  
Author(s):  
X. Li ◽  
Y. Bai ◽  
B. C. Wang ◽  
Y. J. Su
Keyword(s):  
Water Adsorption ◽  
Domain Switching ◽  
Plane Domain

Projections on Bergman Spaces Over Plane Domains

1979 ◽  
Vol 31 (6) ◽  
pp. 1269-1280 ◽  
Author(s):  
Jacob Burbea
Keyword(s):  
Bergman Kernel ◽  
Bergman Spaces ◽  
Holomorphic Functions ◽  
Plane Domain ◽  
Bergman Projection ◽  
Lebesgue Spaces ◽  
Lebesque Measure ◽  
Image Position

Let D be a bounded plane domain and let Lp(D) stand for the usual Lebesgue spaces of functions with domain D, relative to the area Lebesque measure dσ(z) = dxdy. The class of all holomorphic functions in D will be denoted by H(D) and we write Bp(D) = Lp(D) ∩ H(D). Bp(D) is called the Bergman p-space and its norm is given byLet be the Bergman kernel of D and consider the Bergman projection(1.1)It is well known that P is not bounded on Lp(D), p = 1, ∞, and moreover, it can be shown that there are no bounded projections of L∞(Δ) onto B∞(Δ).

Sign in / Sign up

Export Citation Format

Share Document