Let $$L^2(\mu )$$L2(μ) denote the separable Hilbert space associated with a $$\sigma $$σ-finite atomic measure $$\mu $$μ. In this paper, we determine necessary and sufficient conditions for boundedness of weighted… Click to show full abstract
Let $$L^2(\mu )$$L2(μ) denote the separable Hilbert space associated with a $$\sigma $$σ-finite atomic measure $$\mu $$μ. In this paper, we determine necessary and sufficient conditions for boundedness of weighted composition transformation on $$L^2(\mu )$$L2(μ) and give a characterization of antinormal weighted composition operators on $$L^2(\mu )$$L2(μ).
Keywords:
weighted composition;
space;
composition operators;
atomic measure;
antinormal weighted
Journal Title: Arabian Journal of Mathematics
Year Published: 2018
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Journal Title: Arabian Journal of Mathematics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!