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The common range of...
The common range of co-analytic Toeplitz operators on the Drury-Arveson space
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- Aleman, Alexandru (författare)
- Lund University,Lunds universitet,Matematik (naturvetenskapliga fakulteten),Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Sciences),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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- Hartz, Michael (författare)
- Saarland University
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- McCarthy, John E. (författare)
- Washington University in St. Louis
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- Richter, Stefan (författare)
- University of Tennessee
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(creator_code:org_t)
- 2023-01-05
- 2023
- Engelska.
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Ingår i: Journal d'Analyse Mathematique. - : Springer Science and Business Media LLC. - 0021-7670 .- 1565-8538. ; 150:1, s. 215-247
- Relaterad länk:
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http://dx.doi.org/10...
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https://lup.lub.lu.s...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- We characterize the common range of the adjoints of cyclic multiplication operators on the Drury-Arveson space. We show that a function belongs to this common range if and only if its Taylor coefficients satisfy a simple decay condition. To achieve this, we introduce the uniform Smirnov class on the ball and determine its dual space. We show that the dual space of the uniform Smirnov class equals the dual space of the strictly smaller Smirnov class of the Drury-Arveson space, and that this in turn equals the common range of the adjoints of cyclic multiplication operators.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
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