Growth properties of spherical means for monotone BLD functions in the unit ball.
Hardy spaces for the Laplacian with lower order perturbations
We consider Hardy spaces of functions harmonic on smooth domains in Euclidean spaces of dimension greater than two with respect to the Laplacian perturbed by lower order terms. We deal with the gradient and Schrödinger perturbations under appropriate Kato conditions. In this context we show the usual correspondence between the harmonic Hardy spaces and the spaces (or the space of finite measures if p = 1) on the boundary. To this end we prove the uniform comparability of the respective harmonic...
Harmonic and analytic functions admitting a distribution boundary value
Harmonic functions satisfying weighted sign conditions on the boundary
Harmonické funkce a věty o průměru
Heat kernel of fractional Laplacian in cones
We give sharp estimates for the transition density of the isotropic stable Lévy process killed when leaving a right circular cone.
Hp (Rn) is equidistributed with Lp (Rn).
Initial limits of temperatures on arbitrary open sets.
Lindelöf theorems for monotone Sobolev functions.
Maximum principles for subharmonic functions.
MÖbius Transformations and Multiplicative Representations for Spherical Potentials
Multiply superharmonic functions
Some results concerning the multiply superharmonic functions and the boundary behaviour are given and some problems involving these notions are described.
Noncoercive differential operators on homogeneous manifolds of negative curvature and their Green functions
We obtain upper and lower estimates for the Green function for a second order noncoercive differential operator on a homogeneous manifold of negative curvature.
Non-isotropic Hausdorff capacity of exceptional sets for pluri-Green potentials in the unit ball of ℂⁿ
We study questions related to exceptional sets of pluri-Green potentials in the unit ball B of ℂⁿ in terms of non-isotropic Hausdorff capacity. For suitable measures μ on the ball B, the pluri-Green potentials are defined by , where for a fixed z ∈ B, denotes the holomorphic automorphism of B satisfying , and for every w ∈ B. If dμ(w) = f(w)dλ(w), where f is a non-negative measurable function of B, and λ is the measure on B, invariant under all holomorphic automorphisms of B, then ...
Nonnegative solutions of parabolic operators with low-order terms.
Non-tangential limits of the double layer potentials
On a version of Littlewood-Paley function
On Boundary Behaviour of Harmonic Functions in Hölder Domains.
On boundary Harnack principles and poles of extremal harmonic functions.
On Fatou-Type Theorems for Non-Radial Kernels.