7 citations · 7 across the 3 of their papers we have counts for
5 papers
-Harmonic Bergman-Besov Spaces on the Real Hyperbolic Ball
A. Ersin Üreyen
Using characterizations in terms of various differential operators, including partial, normal, and tangential derivatives, we extend the family of Bergman spaces of -ha…
Graph-Directed Sprays and Their Tube Volumes via Functional Equations
Derya Çelik, Şahin Koçak, Yunus Özdemir +1
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 propose a more general concept of s…
Tube Volumes via Functional Equations
Ali Deniz, Sahin Kocak, Yunus Ozdemir +1
We give a very simple approach to the computation of tube volumes of self-similar sprays using a functional equation satisfied by them.
On the Minkowski Measurability of Self-Similar Fractals in R^d
Ali Deniz, Sahin Kocak, Yunus Ozdemir +2
M. Lapidus and C. Pomerance (1990-1993) and K.J. Falconer (1995) proved that a self-similar fractal in is Minkowski-measurable iff it is of non-lattice type. D. Gatzou…
Tube Formula for Self-Similar Fractals with non-Steiner-like Generators
A. Deniz, S. Kocak, Y. Ozdemir +1
We give a direct, pointwise proof for the tube formula of Lapidus-Pearse for self-similar fractals, where we allow non-convex, non-Steiner-like generators.