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Under which conditions is the Jacobi space(L_{w^{(a,b)} }^p [ - 1,1])subset of(L_{w^{(alpha ,eta )} }^1 [ - 1,1])?

✍ Scribed by Michael Felten


Book ID
111488392
Publisher
SP Versita
Year
2007
Tongue
English
Weight
185 KB
Volume
5
Category
Article
ISSN
1895-1074

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✦ Synopsis


Exact conditions for Ξ±, Ξ², a, b > -1 and 1 ≀ p ≀ ∞ are determined under which the inclusion property

It is shown that the conditions characterize the inclusion property. The paper concludes with some results, in which the inclusion property can be detected in relation with estimates of Jacobi differential operators and with Muckenhoupt's transplantation theorems and multiplier theorems for Jacobi series.


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