Contractive multipliers from Hardy space to weighted Hardy space
Copyright policy )Contractive multipliers from Hardy space to weighted Hardy space
It is shown how any contractive multiplier from the Hardy space to a weighted Hardy space $H^{2}_{\bbeta}$ can be factored as a fixed factor composed with the classical Schur multiplier (contractive multiplier between Hardy spaces). The result is applied to get results on interpolation for a Hardy-to-weighted-Hardy contractive multiplier class.
- Virginia Tech United States
- William & Mary United States
Hardy spaces, Schur multiplier, Hardy space, Bergman inner function, Moment problems and interpolation problems in the complex plane, weighted Hardy space, interpolation, Functional Analysis (math.FA), Mathematics - Functional Analysis, contractive multiplier, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), Linear operator methods in interpolation, moment and extension problems
Hardy spaces, Schur multiplier, Hardy space, Bergman inner function, Moment problems and interpolation problems in the complex plane, weighted Hardy space, interpolation, Functional Analysis (math.FA), Mathematics - Functional Analysis, contractive multiplier, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), Linear operator methods in interpolation, moment and extension problems
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).6 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!