Extreme Points and Some Quaternion Valued Functions in the Unit Ball of $${\mathbb {R}}^3$$R3
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-018-0848-9
Abstract: In this paper, we give a new definition of a class of quaternion function spaces, which will be called $$F(p,\alpha ,s;E)$$F(p,α,s;E)-type spaces. Then, we characterize quaternion $$\alpha $$α-Bloch functions by functions belonging to $$F(p,\alpha ,s;E)$$F(p,α,s;E)… read more here.
Keywords: quaternion; quaternion valued; points quaternion; unit ball ... See more keywords
The Octonionic Bergman Kernel for the Unit Ball
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-018-0877-4
Abstract: By introducing a suitable new definition for the inner product of the octonionic Bergman space on the unit ball, we determine the explicit form of the octonionic Bergman kernel for the unit ball, in the… read more here.
Keywords: bergman kernel; octonionic bergman; kernel unit; unit ball ... See more keywords
Schwarz Problems for Poly-Hardy Space on the Unit Ball
Sign Up to like & getrecommendations! Published in 2017 at "Results in Mathematics"
DOI: 10.1007/s00025-016-0575-2
Abstract: In this paper we study the Schwarz boundary value problems $${\big(}$$( for short BVP$${\big)}$$) for the poly-Hardy space defined on the unit ball of higher dimensional Euclidean space $${\mathbb{R}^n}$$Rn . We first discuss the boundary… read more here.
Keywords: unit ball; hardy space; poly hardy; unit ... See more keywords
Weighted estimates for the Berezin transform and Bergman projection on the unit ball
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-016-1809-4
Abstract: Using modern techniques of dyadic harmonic analysis, we are able to prove sharp estimates for the Bergman projection and Berezin transform and more general operators in weighted Bergman spaces on the unit ball. The estimates… read more here.
Keywords: berezin transform; bergman projection; unit ball;
A Schwarz Lemma for Harmonic Functions in the Real Unit Ball
Sign Up to like & getrecommendations! Published in 2019 at "Acta Mathematica Scientia"
DOI: 10.1007/s10473-019-0512-z
Abstract: We establish a precise Schwarz lemma for real-valued and bounded harmonic functions in the real unit ball of dimension n. This extends Chen’s Schwarz-Pick lemma for real-valued and bounded planar harmonic mapping. read more here.
Keywords: harmonic functions; schwarz lemma; unit ball; functions real ... See more keywords
Approximation algorithm for a generalized Roman domination problem in unit ball graphs
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Combinatorial Optimization"
DOI: 10.1007/s10878-019-00459-1
Abstract: In this paper we propose a generalized Roman domination problem called connected strong k -Roman dominating set problem. It is NP-hard even in a unit ball graph. Unit ball graphs are the intersection graphs of… read more here.
Keywords: generalized roman; unit; ball graphs; unit ball ... See more keywords
The Gleason’s Problem on F(p,q,s) Type Spaces in the Unit Ball of $$\mathbf{C^{n}}$$Cn
Sign Up to like & getrecommendations! Published in 2018 at "Complex Analysis and Operator Theory"
DOI: 10.1007/s11785-017-0743-8
Abstract: In this paper, the authors prove that the Gleason’s problem is solvable on the logarithm weight general function spaces F(p,q,s,k) in the unit ball $$B\subset \mathbf{C^{n}}$$B⊂Cn. read more here.
Keywords: unit ball; spaces unit; gleason problem;
Random Interpolating Sequences in the Polydisc and the Unit Ball
Sign Up to like & getrecommendations! Published in 2022 at "Computational Methods and Function Theory"
DOI: 10.1007/s40315-022-00448-2
Abstract: We study almost surely separating and interpolating properties of random sequences in the polydisc and the unit ball. In the unit ball, we obtain the 0–1 Komolgorov law for a sequence to be interpolating almost… read more here.
Keywords: polydisc unit; interpolating sequences; sequences polydisc; unit ball ... See more keywords
Weighted Space and Bloch-Type Space on the Unit Ball of an Infinite Dimensional Complex Banach Space
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-019-00204-8
Abstract: Let $${\mathbf {B}}_{{\mathbb {X}}}$$BX be the open unit ball of a complex Banach space $${\mathbb {X}}$$X, which may beinfinite dimensional. The weighted composition operator and weighted space defined on $${\mathbf {B}}_{{\mathbb {X}}}$$BX are introduced. We… read more here.
Keywords: complex banach; bloch type; space; unit ball ... See more keywords
Fixed points of polarity type operators
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.07.057
Abstract: Abstract A well-known result says that the Euclidean unit ball is the unique fixed point of the polarity operator. This result implies that if, in R n , the unit ball of some norm is… read more here.
Keywords: polarity type; points polarity; polarity; unit ball ... See more keywords
Horosphere-invariant mappings of the unit ball in Cn
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125024
Abstract: Abstract Horospheres, particular ellipsoids internally tangent to the boundary of the Euclidean unit ball B of C n , play a pivotal role in the Denjoy–Wolff theory of holomorphic self-mappings of B . We use… read more here.
Keywords: horosphere invariant; mappings unit; invariant mappings; unit ball ... See more keywords