Differences of Composition Operators on Bloch Type Spaces
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DOI: 10.1007/s11785-016-0595-7
Abstract: In this paper, we study the boundedness, compactness and essential norm of differences of composition operators $$C_{\varphi }-C_{\psi }$$Cφ-Cψ on Bloch type spaces. In particular, we use the Bloch type norm of $$\varphi ^n-\psi ^n$$φn-ψn… read more here.
Keywords: operators bloch; bloch type; type spaces; differences composition ... See more keywords
Norm of a Bloch-Type Projection
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DOI: 10.1007/s11785-018-0840-3
Abstract: In this paper, we obtain the exact norm of the following integral operator $$P^{\alpha }_{t}$$Ptα$$\begin{aligned} P^{\alpha }_{t}f(z)=\int _{\mathbb {B}_{n}}\frac{f(w)}{(1- \langle z,w \rangle )^{n+t+\alpha }}dv_{t}(w),\ \alpha>0,\ t>-1, \end{aligned}$$Ptαf(z)=∫Bnf(w)(1-⟨z,w⟩)n+t+αdvt(w),α>0,t>-1,from $$L^{\infty }(\mathbb {B}_{n})$$L∞(Bn) onto Bloch-type spaces $$\mathcal {B}_\alpha… read more here.
Keywords: projection; bloch type; norm bloch; norm ... See more keywords
Weighted Space and Bloch-Type Space on the Unit Ball of an Infinite Dimensional Complex Banach Space
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DOI: 10.1007/s41980-019-00204-8
Abstract: Let $${\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
Königs eigenfunction for composition operators on Bloch and H∞ type spaces
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DOI: 10.1016/j.jmaa.2016.04.036
Abstract: Abstract We discuss when the Konigs eigenfunction associated with a non-automorphic selfmap of the complex unit disc that fixes the origin belongs to Banach spaces of holomorphic functions of Bloch and H ∞ type. In… read more here.
Keywords: eigenfunction; bloch type; eigenfunction composition; composition operators ... See more keywords
On interpolating sequences for Bloch type spaces
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DOI: 10.1016/j.jmaa.2022.126079
Abstract: When we deal with H∞, it is known that c0−interpolating sequences are interpolating and it is sufficient to interpolate idempotents of l∞ in order to interpolate the whole l∞. We will extend these results to… read more here.
Keywords: bloch type; interpolating sequences; sequences bloch; type spaces ... See more keywords
Mapping the magnetization fine structure of a lattice of Bloch-type skyrmions in an FeGe thin film
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DOI: 10.1063/1.5004394
Abstract: Bloch-type magnetic skyrmions are nanoscale vortex-like spin objects that form densely packed lattice arrangements in B20-type chiral magnets in the presence of a magnetic field. Here, we use off-axis electron holography, in combination with an… read more here.
Keywords: fege thin; bloch type; thin film; skyrmions fege ... See more keywords
Distance of a Bloch-type function to space
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DOI: 10.1080/17476933.2018.1544630
Abstract: ABSTRACT We establish a distance formula from a Bloch-type function to , which gives a characterization of the closure of in the Bloch-type space and generalizes some results on the distance formulas from a Bloch… read more here.
Keywords: bloch; distance; bloch type; type function ... See more keywords
Landau–Bloch type theorems for certain biharmonic mappings
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DOI: 10.1080/17476933.2019.1701665
Abstract: In this paper, two versions of Landau–Bloch type theorems for biharmonic mappings are provided by applying the geometric method and establishing better coefficient estimates for bounded and normalized planar harmonic mappings. In particular, we pose… read more here.
Keywords: bloch type; biharmonic mappings; landau bloch; theorems certain ... See more keywords
Norms of a Product of Integral and Composition Operators between Some Bloch-Type Spaces
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DOI: 10.3390/axioms12050491
Abstract: We present some formulas for the norm, as well as the essential norm, of a product of composition and an integral operator between some Bloch-type spaces of analytic functions on the unit ball, in terms… read more here.
Keywords: product integral; type spaces; norms product; composition ... See more keywords