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  DOI Prefix   10.20431


 

International Journal of Scientific and Innovative Mathematical Research
Volume 5, Issue 6, 2017, Page No: 20-24

Bounded Projections on Fourier-Modified-Stieltjes Transforms

B.G.Khedkar,S.B.Gaikwad

1.Arts, Commerce and Science College Sonai, Newasa, Ahmednagar, (M.S) India.
2.New Arts, Commerce and Science College Ahmednagar, (M.S) India.

Citation :B.G.Khedkar,S.B.Gaikwad, Bounded Projections on Fourier-Modified-Stieltjes Transforms International Journal of Scientific and Innovative Mathematical Research 2017,5(6) : 20-24

Abstract

We study certain algebraic projections on measure algebra (of a locally compact abelian group) which extends to bounded projections on the uniform closure of the Fourier-Modified-Stieltjes transforms. These projections arise by studying a Raikov system of subsets induced by locally compact subgroups. These results generalize the inequality (where μ is measure algebra, μ d is discrete part of μ and is the sup-norm of the Fourier-Modified-Stieltjes transforms.)


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