@article{oai:kanazawa-u.repo.nii.ac.jp:00008460, author = {Kanjin, Yuichi}, issue = {3}, journal = {Journal of the Mathematical Society of Japan}, month = {Jan}, note = {We show that Hardy's inequalities for Laguerre expansions hold on the space L1(0, ∞) when the Laguerre parameters α are positive, and we prove that although the inequality holds on the real Hardy space H 1(0, ∞) if α = 0, it does not hold on L1(0, ∞). Further, Hardy's inequality for Hermite expansion is established on L1(0,∞). © 2011 The Mathematical Society of Japan., 発行後3年より全文公開 / 出版者照会中, 金沢大学理工研究域機械工学系}, pages = {753--767}, title = {Hardy's inequalities for Hermite and Laguerre expansions revisited}, volume = {63}, year = {2011} }