1. CMB 2011 (vol 55 pp. 355)
|Convolution Inequalities in $l_p$ Weighted Spaces|
Various weighted $l_p$-norm inequalities in convolutions are derived by a simple and general principle whose $l_2$ version was obtained by using the theory of reproducing kernels. Applications to the Riemann zeta function and a difference equation are also considered.
Keywords:inequalities for sums, convolution
2. CMB 1998 (vol 41 pp. 392)
|A note on $H^1$ multipliers for locally compact Vilenkin groups |
Kitada and then Onneweer and Quek have investigated multiplier operators on Hardy spaces over locally compact Vilenkin groups. In this note, we provide an improvement to their results for the Hardy space $H^1$ and provide examples showing that our result applies to a significantly larger group of multipliers.