Bounded Projections on Fourier-Modified-Stieltjes Transforms
B.G.Khedkar,S.B.Gaikwad
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
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.)