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Displaying 781 – 800 of 6204

Boundary behavior of the power series of the enlarged Bloch class.

Kayumov, I.R. (2009)

Sibirskij Matematicheskij Zhurnal

Boundary Behavior of the Riemann Mapping Function of Asymptotically Conformal Curves.

Stefan E. Warschawski, Frank D. Lesley (1982)

Mathematische Zeitschrift

Boundary behaviour of analytic functions in spaces of Dirichlet type.

Girela, Daniel, Peláez, José Ángel (2006)

Journal of Inequalities and Applications [electronic only]

Boundary behaviour of harmonic functions in a half-space and brownian motion

D. L. Burkholder, Richard F. Gundy (1973)

Annales de l'institut Fourier

Let $u$ be harmonic in the half-space $R_{+}^{n + 1}$ , $n \geq 2$ . We show that $u$ can have a fine limit at almost every point of the unit cubs in $R^{n} = \partial R_{+}^{n + 1}$ but fail to have a nontangential limit at any point of the cube. The method is probabilistic and utilizes the equivalence between conditional Brownian motion limits and fine limits at the boundary.In $R_{+}^{2}$ it is known that the Hardy classes $H^{p}$ , $0 < p < \infty$ , may be described in terms of the integrability of the nontangential maximal function, or, alternatively, in terms of the integrability...

Boundary behaviour of quasiconformal mappings in normed spaces

Petru Caraman (1985)

Annales Polonici Mathematici

Boundary correspondence under harmonic quasiconformal homeomorphisms of the unit disk.

Pavlović, Miroslav (2002)

Annales Academiae Scientiarum Fennicae. Mathematica

Boundary correspondence under quasiconformal harmonic diffeomorphisms of a half-plane.

Kalaj, David, Pavlović, Miroslav (2005)

Annales Academiae Scientiarum Fennicae. Mathematica

Boundary functions in $L^{2} H (𝔹^{n})$

Piotr Kot (2007)

Czechoslovak Mathematical Journal

We solve the Dirichlet problem for line integrals of holomorphic functions in the unit ball: For a function $u$ which is lower semi-continuous on $\partial 𝔹^{n}$ we give necessary and sufficient conditions in order that there exists a holomorphic function $f \in 𝕆 (𝔹^{n})$ such that $u (z) = \int_{| λ | < 1} {|f (λ z)|}^{2} d 𝔏^{2} (λ) .$

Boundary functions on a bounded balanced domain

Piotr Kot (2009)

Czechoslovak Mathematical Journal

We solve the following Dirichlet problem on the bounded balanced domain $Ω$ with some additional properties: For $p > 0$ and a positive lower semi-continuous function $u$ on $\partial Ω$ with $u (z) = u (λ z)$ for $| λ | = 1$ , $z \in \partial Ω$ we construct a holomorphic function $f \in 𝕆 (Ω)$ such that $u (z) = \int_{𝔻 z} {| f |}^{p} d 𝔏_{𝔻 z}^{2}$ for $z \in \partial Ω$ , where $𝔻 = {λ \in ℂ | λ | < 1}$ .

Boundary Properties of Holomorphic Functions in the Ball of Cn.

Nessim Sibony, Monique Hakim (1986)

Mathematische Annalen

Boundary regularity and the uniform convergence of quasiconformal mappings.

Raimo Näkki, Bruce Palka (1979)

Commentarii mathematici Helvetici

Boundary regularity for holomorphic maps from the disc to the ball.

Edgar Lee Stout, Josip Globevnik (1987)

Mathematica Scandinavica

Boundary subordination

Adam Lecko (2012)

Annales Polonici Mathematici

We study the idea of the boundary subordination of two analytic functions. Some basic properties of the boundary subordination are discussed. Applications to classes of univalent functions referring to a boundary point are demonstrated.

Boundary Value Problem With Shift for two Simply Connected Regions

Boško Damjanović (1997)

Matematički Vesnik

Boundary value problems and singular integral equations on Banach function spaces [Book]

E. M. Rojas (2015)

Boundary value problems for analytic and harmonic functions in domains with nonsmooth boundaries. Applications to conformal mappings.

Khuskivadze, Givi, Kokilashvili, Vakhtang, Paatashvili, Vakhtang (1998)

Memoirs on Differential Equations and Mathematical Physics

Boundary value problems for analytic functions in the class of Cauchy-type integrals with density in $L^{p (\cdot)} (Γ)$ .

Kokilashvili, V., Paatashvili, V., Samko, S. (2005)

Boundary Value Problems [electronic only]

Currently displaying 781 – 800 of 6204