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Radially Weighted B...
Radially Weighted Besov Spaces and the Pick Property
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- Aleman, Alexandru (author)
- 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 (author)
- Washington University in St. Louis,University of Hagen
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- McCarthy, John E. (author)
- Washington University in St. Louis
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- Richter, Stefan (author)
- University of Tennessee
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(creator_code:org_t)
- 2019-05-31
- 2019
- English 33 s.
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In: Trends in Mathematics. - Cham : Springer International Publishing. - 2297-0215 .- 2297-024X. ; , s. 29-61
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Abstract
Subject headings
Close
- For s∈ ℝ the weighted Besov space on the unit ball Bd of ℂd is defined by (Formula presented.). Here Rs is a power of the radial derivative operator (Formula presented.), V denotes Lebesgue measure, and ω is a radial weight function not supported on any ball of radius < 1. Our results imply that for all such weights ω and ν, every bounded column multiplication operator (Formula presented.) induces a bounded row multiplier (Formula presented.). Furthermore we show that if a weight ω satisfies that for some α > −1 the ratio ω(z)∕(1 −|z|2)α is nondecreasing for t0 < |z| < 1, then (Formula presented.) is a complete Pick space, whenever s ≥ (α + d)∕2.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Besov space
- Complete Pick space
- Multiplier
Publication and Content Type
- kap (subject category)
- ref (subject category)
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