We estimate the oscillation of harmonic reproducing kernels. As an application of this estimation we obtain a double integral characterization of harmonic Besov spaces

The notion of sprays introduced by Lapidus and his co-workers has proved useful in the context of fractal tube formulas. In the present note, we define a notion of a graph-directed spray, associated with a weighted directed ...

Bu çalışmada öncelikle harmonik fonksiyonlar ve harmonik polinomlar ile ilgili bazı temel özellikler ifade edilmiş ve daha sonra harmonik Bergman uzayları incelenmiştir. Bu uzayların bir çok özelliği analitik Bergman ...

We consider harmonic Bergman-Besov spaces bp and weighted Bloch spaces b on the unit ball of (n) for the full ranges of parameters 0 < p < , , and determine the precise inclusion relations among them. To verify these ...

The question of Minkowski measurability of fractals is investigated for different situations by various authors, notably by M. Lapidus. In dimension one it is known that the attractor of an IFS consisting of similitudes ...

We describe exactly and fully which of the spaces of holomorphic functions in the title are included in which others. We provide either new results or new proofs. More importantly, we construct explicit functions in each ...

Lapidus and Pearse proved recently an interesting formula about the volume of tubular neighborhoods of fractal sprays, including the self-similar fractals. We consider the graph-directed fractals in the sense of graph ...

Tube formulas for convex sets and for smooth submanifolds of Euclidean spaces have long been of interest for geometers. In the last two decades there has been great progress on tube formulas for badly behaved spaces such ...