@article{c084f0f279cd4a7dba32350e1241a020,
title = "Hardy type inequalities with spherical derivatives",
abstract = "A Hardy type inequality is presented with spherical derivatives in Rn with n≥ 2 in the framework of equalities. This clarifies the difference between contribution by radial and spherical derivatives in the improved Hardy inequality as well as nonexistence of nontrivial extremizers without compactness arguments.",
author = "Neal Bez and Shuji Machihara and Tohru Ozawa",
note = "Funding Information: The first author was supported by JSPS KAKENHI Grant number 16H05995 and 16K1377, the second author was supported by JSPS KAKENHI Grant number JP16K05191, the third author was supported by JSPS KAKENHI Grant number 19H00644 and 18KK0073. Publisher Copyright: {\textcopyright} 2020, Springer Nature Switzerland AG.",
year = "2020",
month = feb,
doi = "10.1007/s42985-019-0001-1",
language = "English",
volume = "1",
journal = "Partial Differential Equations and Applications",
issn = "2662-2963",
publisher = "Springer International Publishing AG",
number = "1",
}