Kurum Yazarı "Üreyen, Adem Ersin" WoS İndeksli Yayınlar Koleksiyonu İçin Listeleme
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An estimate of the oscillation of harmonic reproducing kernels with applications
Üreyen, Adem Ersin (Academic Press Inc Elsevier Science, 2016)We estimate the oscillation of harmonic reproducing kernels. As an application of this estimation we obtain a double integral characterization of harmonic Besov spaces -
Graph-directed sprays and their tube volumes via functional equations
Çelik, Derya; Koçak, Şahin; Özdemir, Yunus; Üreyen, Adem Ersin (European Mathematical Soc, 2017)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 ... -
Harmonic Besov spaces on the ball
Gergün, Seçil; Kaptanoğlu, H. Turgay; Üreyen, Adem Ersin (World Scientific Publ Co Pte LTD, 2016)We initiate a detailed study of two-parameter Besov spaces on the unit ball of R-n consisting of harmonic functions whose sufficiently high-order radial derivatives lie in harmonic Bergman spaces. We compute the reproducing ... -
Inclusion relations between harmonic Bergman-Besov and weighted Bloch spaces on the unit ball
Doğan, Ömer Faruk; Üreyen, Adem Ersin (Springer Heidelberg, 2019)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 ... -
On the Minkowski measurability of self-similar fractals in R-d
Deniz, Ali; Koçak, Şahin; Özdemir, Yunus; Ratiu, Andrei; Üreyen, Adem Ersin (Scientific Technical Research Council Turkey-Tubitak, 2013)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 ... -
Oscillation of holomorphic Bergman-Besov kernels on the ball
Üreyen, Adem Ersin (Springer Wien, 2017)We estimate the oscillation of holomorphic Bergman-Besov reproducing kernels on the unit ball of . As an application of this estimate we characterize holomorphic Bergman-Besov spaces in terms of double integrals of the ... -
Precise inclusion relations among Bergman-Besov and Bloch-Lipschitz spaces and H infinity on the unit ball of C-N
Kaptanoğlu, H. Turgay; Üreyen, Adem Ersin (Wiley-V C H Verlag GMBH, 2018)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 ... -
Reproducing kernels for harmonic Besov spaces on the ball
Gergün, Seçil; Kaptanoğlu, H. Turgay; Üreyen, Adem Ersin (Elsevier France-Editions Scientifiques Medicales Elsevier, 2009)Besov spaces of harmonic functions on the unit ball of R '' are defined by requiring Sufficiently high-order derivatives of functions lie in harmonic Bergman spaces. We compute the reproducing kernels of those Besov spaces ... -
Tube Formulas for Graph-Directed Fractals
Demir, Bünyamin; Deniz, Ali; Koçak, Şahin; Üreyen, Adem Ersin (World Scientific Publ Co Pte LTD, 2010)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 Self-Similar and Graph-Directed Fractals
Deniz, Ali; Koçak, Şahin; Özdemir, Yunus; Üreyen, Adem Ersin (Springer, 2013)… -
Tube volumes via functional equations
Deniz, Ali; Koçak, Şahin; Özdemir, Yunus; Üreyen, Adem Ersin (Springer Basel Ag, 2015)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 ... -
Weighted Harmonic Bloch Spaces on the Ball
Doğan, Ömer Faruk; Üreyen, Adem Ersin (Springer Basel Ag, 2018)We study the family of weighted harmonic Bloch spaces , on the unit ball of . We provide characterizations in terms of partial and radial derivatives and certain radial differential operators that are more compatible with ...