nontangential limits
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Square functions, nontangential limits, and harmonic measure in codimension larger than $1$

2020 ◽  
Author(s):  
Guy David ◽  
Max Engelstein ◽  
Svitlana Mayboroda
Keyword(s):  
Harmonic Measure ◽  
Square Functions ◽  
Nontangential Limits

scholarly journals On Nontangential Limits and Shift Invariant Subspaces

2019 ◽  
Vol 91 (1) ◽  
Author(s):  
John R. Akeroyd ◽  
John B. Conway ◽  
Liming Yang
Keyword(s):  
Invariant Subspaces ◽  
Nontangential Limits

scholarly journals Nontangential Limits for Modified Poisson Integrals of Boundary Functions in a Cone

2012 ◽  
Vol 2012 ◽  
pp. 1-9 ◽  
Author(s):  
Lei Qiao
Keyword(s):  
Poisson Integrals ◽  
Nontangential Limits ◽  
Boundary Functions ◽  
Tangential Limits

Our aim in this paper is to deal with non-tangential limits for modified Poisson integrals of boundary functions in a cone, which generalized results obtained by Brundin and Mizuta-Shimomura.

scholarly journals Nontangential Limits and Fatou-Type Theorems on Post-Critically Finite Self-Similar Sets

2011 ◽  
Vol 18 (2) ◽  
pp. 240-265 ◽  
Author(s):  
Ricardo A. Sáenz
Keyword(s):  
Nontangential Limits ◽  
Self Similar

scholarly journals BOUNDARY BEHAVIOR OF SUPERHARMONIC FUNCTIONS SATISFYING NONLINEAR INEQUALITIES IN A PLANAR SMOOTH DOMAIN

2009 ◽  
Vol 87 (2) ◽  
pp. 253-261
Author(s):  
KENTARO HIRATA
Keyword(s):  
Boundary Behavior ◽  
Smooth Domain ◽  
Sharp Boundary ◽  
Growth Estimate ◽  
Superharmonic Functions ◽  
Nonlinear Inequality ◽  
Nontangential Limits ◽  
Image Position

AbstractThis paper presents a sharp boundary growth estimate for all positive superharmonic functions u in a smooth domain Ω in ℝ2 satisfying the nonlinear inequality where c>0, α∈ℝ and p>0, and δΩ(x) stands for the distance from a point x to the boundary of Ω. A result is applied to show the existence of nontangential limits of such superharmonic functions.

scholarly journals Nontangential limits in 𝒫t(μ)-spaces and the index of invariant subgroups

2009 ◽  
Vol 169 (2) ◽  
pp. 449-490 ◽  
Author(s):  
Alexandru Aleman ◽  
Stefan Richter ◽  
Carl Sundberg
Keyword(s):  
Nontangential Limits

scholarly journals Analytic contractions, nontangential limits, and the index of invariant subspaces

2007 ◽  
Vol 359 (07) ◽  
pp. 3369-3408 ◽  
Author(s):  
Alexandru Aleman ◽  
Stefan Richter ◽  
Carl Sundberg
Keyword(s):  
Invariant Subspaces ◽  
Nontangential Limits

scholarly journals Poisson integrals and nontangential limits

2006 ◽  
Vol 134 (11) ◽  
pp. 3181-3189 ◽  
Author(s):  
Victor L. Shapiro
Keyword(s):  
Poisson Integrals ◽  
Nontangential Limits
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