Hardy type inequalities with spherical derivatives

Neal Bez (), Shuji Machihara () and Tohru Ozawa ()
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Neal Bez: Saitama University
Shuji Machihara: Saitama University
Tohru Ozawa: Waseda University

Partial Differential Equations and Applications, 2020, vol. 1, issue 1, 1-15

Abstract: Abstract A Hardy type inequality is presented with spherical derivatives in $${\mathbb {R}}^{n}$$Rn with $$n\ge 2$$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.

Keywords: Primary 26D10; Secondary 35A23; 46E35 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s42985-019-0001-1

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