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Multiplier criteria of Marcinkiewicz type for Jacobi expansions

✍ Scribed by Gasper, George; Trebels, Walter

Book ID
127074677
Publisher
American Mathematical Society
Year
1977
Tongue
English
Weight
915 KB
Volume
231
Category
Article
ISSN
0002-9947

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Multipliers of Laplace transform type fo
Multipliers of Laplace transform type for ultraspherical expansions
✍ Teresa Martinez 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 173 KB

## Abstract We define and investigate the multipliers of Laplace transform type associated to the differential operator __L~λ~f__ (__θ__) = –__f__ ″(__θ__) – 2__λ__ cot __θf__ ′(__θ__) + __λ__^2^__f__ (__θ__), __λ__ > 0. We prove that these operators are bounded in __L^p^__ ((0, __π__), __dm~λ~__)