Chin-Cheng Lin, Shu-Huey Lin, "Hardy-Littlewood type inequalities for Laguerre series", International Journal of Mathematics and Mathematical Sciences, vol. 30, Article ID 736831, 8 pages, 2002. https://doi.org/10.1155/S0161171202108234
Hardy-Littlewood type inequalities for Laguerre series
Let be a null sequence of bounded variation. We give appreciate smoothness and growth conditions on to obtain the pointwise convergence as well as -convergence of Laguerre series . Then, we prove a Hardy-Littlewood type inequality for certain , where is the limit function of . Moreover, we show that if is in , , we have the converse Hardy-Littlewood type inequality for and .
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