Weighted composition operators induced by strongly measurable functions
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DOI: 10.1007/s13370-018-0596-y
Abstract: In this paper, we describe multiplication and weighted composition operators induced by functions which either are strongly $$\mu $$μ-normable measurable or have strong $$\mu $$μ-measurability of the orbits on Lorentz–Karamata–Bochner (LKB) spaces $$L_{p,q;b}$$Lp,q;b, where $$1<… read more here.
Keywords: weighted composition; operators induced; induced strongly; strongly measurable ... See more keywords
Weighted Inequality of Integral Operators Induced by Hardy Kernels
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DOI: 10.11650/tjm/250805
Abstract: For doubling weights, we obtain a necessary and sufficient condition such that the one weighted inequality of the integral operator induced by Hardy kernels on the unit disk holds. This confirms a conjecture by Guo… read more here.
Keywords: weighted inequality; operators induced; integral operators; induced hardy ... See more keywords
Operators induced by certain hypercomplex systems
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DOI: 10.7494/opmath.2023.43.3.275
Abstract: In this paper, we consider a family \(\{ \mathbb{H}_{t}\}_{t\in\mathbb{R}}\) of rings of hypercomplex numbers, indexed by the real numbers, which contain both the quaternions and the split-quaternions. We consider natural Hilbert-space representations \(\{(\mathbb{C}^{2},\pi_{t})\}_{t\in\mathbb{R}}\) of the… read more here.
Keywords: certain hypercomplex; mathbb mathbb; induced certain; mathbb ... See more keywords