Multipliers on some weighted L p -spaces

S. Öztop

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 23, 1-6

Abstract:

Let G be a locally compact abelian group with Haar measure d x , and let ω be a symmetric Beurling weight function on G (Reiter, 1968). In this paper, using the relations between p i and q i , where 1 < p i , q i < ∞ , p i ≠ q i ( i = 1 , 2 ) , we show that the space of multipliers from L ω p ( G ) to the space S ( q ′ 1 , q ′ 2 , ω − 1 ) , the space of multipliers from L ω p 1 ( G ) ∩ L ω p 2 ( G ) to L ω q ( G ) and the space of multipliers L ω p 1 ( G ) ∩ L ω p 2 ( G ) to S ( q ′ 1 , q ′ 2 , ω − 1 ) .

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:798165

DOI: 10.1155/S016117120000096X

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