We study relationships between the asymptotic behaviour of a non-elliptic semigroup of holomorphic self-maps of the unit disk and the geometry of its planar domain (the image of the Koenigs function). We establish a sufficient condition for the trajectories of the semigroup to converge to its Denjoy–Wolff point with a definite slope. We obtain as a corollary two previously known sufficient conditions.Ministerio de Economía y Competitividad (Spain) / European Union (FEDER) PGC2018-094215-B-100Junta de Andalucía (Spain) FQM-13
Let Δ C be a simply connected domain, let f : D → Δ be a Riemann map, and let {zk} ⊂ Δ be a compac...
We give three necessary and sufficient conditions so that a parabolic holomorphic semigroup $(\phi_t...
We study semigroups $(\phi_t)_{t\geq 0}$ of holomorphic self-maps of the unit disk with Denjoy-Wolff...
Let f be a univalent self-map of the unit disc. We introduce a technique, that we call semigroup-fi...
Let f be a univalent self-map of the unit disc. We introduce a technique, that we call semigroup-fi...
Let f be a univalent self-map of the unit disc. We introduce a technique, that we call semigroup-fi...
It has been an open problem for about 10 years whether every trajectory of a parabolic one-para...
It has been an open problem for about 10 years whether every trajectory of a parabolic one-para...
It has been an open problem for about 10 years whether every trajectory of a parabolic one-para...
It has been an open problem for about 10 years whether every trajectory of a parabolic one-para...
It has been an open problem for about 10 years whether every trajectory of a parabolic one-para...
It has been an open problem for about 10 years whether every trajectory of a parabolic one-para...
Let Δ C be a simply connected domain, let f : D → Δ be a Riemann map, and let {zk} ⊂ Δ be a compac...
Let Δ C be a simply connected domain, let f : D → Δ be a Riemann map, and let {zk} ⊂ Δ be a compac...
Let Δ C be a simply connected domain, let f : D → Δ be a Riemann map, and let {zk} ⊂ Δ be a compac...
Let Δ C be a simply connected domain, let f : D → Δ be a Riemann map, and let {zk} ⊂ Δ be a compac...
We give three necessary and sufficient conditions so that a parabolic holomorphic semigroup $(\phi_t...
We study semigroups $(\phi_t)_{t\geq 0}$ of holomorphic self-maps of the unit disk with Denjoy-Wolff...
Let f be a univalent self-map of the unit disc. We introduce a technique, that we call semigroup-fi...
Let f be a univalent self-map of the unit disc. We introduce a technique, that we call semigroup-fi...
Let f be a univalent self-map of the unit disc. We introduce a technique, that we call semigroup-fi...
It has been an open problem for about 10 years whether every trajectory of a parabolic one-para...
It has been an open problem for about 10 years whether every trajectory of a parabolic one-para...
It has been an open problem for about 10 years whether every trajectory of a parabolic one-para...
It has been an open problem for about 10 years whether every trajectory of a parabolic one-para...
It has been an open problem for about 10 years whether every trajectory of a parabolic one-para...
It has been an open problem for about 10 years whether every trajectory of a parabolic one-para...
Let Δ C be a simply connected domain, let f : D → Δ be a Riemann map, and let {zk} ⊂ Δ be a compac...
Let Δ C be a simply connected domain, let f : D → Δ be a Riemann map, and let {zk} ⊂ Δ be a compac...
Let Δ C be a simply connected domain, let f : D → Δ be a Riemann map, and let {zk} ⊂ Δ be a compac...
Let Δ C be a simply connected domain, let f : D → Δ be a Riemann map, and let {zk} ⊂ Δ be a compac...
We give three necessary and sufficient conditions so that a parabolic holomorphic semigroup $(\phi_t...
We study semigroups $(\phi_t)_{t\geq 0}$ of holomorphic self-maps of the unit disk with Denjoy-Wolff...
Add to ORKG