@article{oai:kanazawa-u.repo.nii.ac.jp:00060882, author = {佐藤, 秀一 and Sato, Shuichi}, journal = {Partial Differential Equations and Applications}, month = {Sep}, note = {We consider the weighted Sobolev spaces with weights of the Muckenhoupt class and characterize the spaces by the square functions of Marcinkiewicz type defined by repeated averaging operations over spheres., The author is partly supported by Grant-in-Aid for Scientific Research (C) No. 20K03651, Japan Society for the Promotion of Science., 金沢大学人間社会研究域学校教育系}, title = {Sobolev spaces and functions of Marcinkiewicz type with repeated averaging operations over spheres}, volume = {3}, year = {2022} }