@article{oai:kanazawa-u.repo.nii.ac.jp:00060472, author = {佐藤, 秀一 and Sato, Shuichi}, issue = {2022}, journal = {Studia Mathematica}, month = {Sep}, note = {We consider the weighted Sobolev spaces associated with non-isotropic dilations of Calderón–Torchinsky and characterize the spaces by the square functions of Marcinkiewicz type including those defined with repeated uses of averaging operation., MSC: Primary 42B25; Secondary 46E35., 金沢大学人間社会研究域教育系}, pages = {295--320}, title = {Sobolev spaces with non-isotropic dilations and square functions of Marcinkiewicz type}, volume = {267}, year = {2022} }