Formula omitted]-Boundedness of localization operators associated to Bessel left regular representations

Abstract

Motivated from Wong [M.W. Wong, L p -Boundedness of localization operators associated to left regular representations, Proc. Amer. Math. Soc. 130 (2002) 2911–2929], an L μ p -boundedness of localization operators associated to Bessel's left regular representations of locally compact Hausdorff group is obtained and an application of Bessel wavelet multipliers is investigated by using Zemanian theory of Hankel transformation.