Exponential Estimates for the Conjugate Function on Locally Compact Abelian Groups
Exponential Estimates for the Conjugate Function on Locally Compact Abelian Groups
Abstract Let G be a locally compact Abelian group, with character group X. Suppose that X contains a measurable order P . For the conjugate function of f is the function whose Fourier transform satisfies the identity for almost all χ in X where sgn p(χ) = - 1 , …