Abstract. Let D be a domain in R2 with the Green function G(x, y) for the Laplace equation. We give a generalization of the Cranston-McConnell inequality concerning the integrability of positive harmonic functions on D. A typical new inequality is 1 u(x
We prove a uniform boundary Harnack inequality for nonnegative harmonic functions of the fractional ...
Abstract. In this paper we highlight a set of techniques that recently have been used to establish b...
In the study of the local Fatou theorem for harmonic functions, Carleson [Ca] proved the following c...
Abstract. Let Ω be an open set in R2 with Green function G(x, y) for the Laplace equation. We give a...
Let D be a domain in Rn (n ≥ 2) with the Green function G(x, y) for the Laplace equation. By |D | we...
Let G be the Green function for a domain D $\subset$ Rd with d ≥ 3. The Martin boundary of D a...
AbstractIn this paper we establish a Hardy inequality for Laplace operators with Robin boundary cond...
We study the boundary properties of the Green function of bounded simply connected domains in the pl...
Davies’ version of the Hardy inequality gives a lower bound for the Dirichlet integral of a function...
Cranston, Fabes and Zhao ([26], [5]) established the uniform bound sup x; y 2 x 6= y R G1;n (x;...
A proper subdomain D of Rn is called a Hölder domain if, for xed x0 2 D, the quasi-hyperbolic dista...
82 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.{1,1}$ boundaries. With the he...
In this paper we highlight a set of techniques that recently have been used to establish boundary Ha...
Abstract. Let (xn), (yn) be two martingales adapted to the same filtration (Fn) satisfying, with pro...
AbstractBoth local and global Ar-weighted Poincaré inequalities for Green's operator applied to the ...
We prove a uniform boundary Harnack inequality for nonnegative harmonic functions of the fractional ...
Abstract. In this paper we highlight a set of techniques that recently have been used to establish b...
In the study of the local Fatou theorem for harmonic functions, Carleson [Ca] proved the following c...
Abstract. Let Ω be an open set in R2 with Green function G(x, y) for the Laplace equation. We give a...
Let D be a domain in Rn (n ≥ 2) with the Green function G(x, y) for the Laplace equation. By |D | we...
Let G be the Green function for a domain D $\subset$ Rd with d ≥ 3. The Martin boundary of D a...
AbstractIn this paper we establish a Hardy inequality for Laplace operators with Robin boundary cond...
We study the boundary properties of the Green function of bounded simply connected domains in the pl...
Davies’ version of the Hardy inequality gives a lower bound for the Dirichlet integral of a function...
Cranston, Fabes and Zhao ([26], [5]) established the uniform bound sup x; y 2 x 6= y R G1;n (x;...
A proper subdomain D of Rn is called a Hölder domain if, for xed x0 2 D, the quasi-hyperbolic dista...
82 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.{1,1}$ boundaries. With the he...
In this paper we highlight a set of techniques that recently have been used to establish boundary Ha...
Abstract. Let (xn), (yn) be two martingales adapted to the same filtration (Fn) satisfying, with pro...
AbstractBoth local and global Ar-weighted Poincaré inequalities for Green's operator applied to the ...
We prove a uniform boundary Harnack inequality for nonnegative harmonic functions of the fractional ...
Abstract. In this paper we highlight a set of techniques that recently have been used to establish b...
In the study of the local Fatou theorem for harmonic functions, Carleson [Ca] proved the following c...
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