Tohoku Mathematical Journal
2013
September
SECOND SERIES VOL. 65, NO. 3

Tohoku Math. J.
65 (2013), 321-330

Title HARDY TYPE INEQUALITIES ON BALLS

Author Shuji Machihara, Tohru Ozawa and Hidemitsu Wadade

(Received February 15, 2012, revised December 4, 2012)
Abstract. Hardy type inequalities are presented on balls with radius $R$ at the origin in ${\boldsymbol R}^n$ with $n=2$ at least. A special attention is paid on the behavior of functions on the boundary.

Mathematics Subject Classification. Primary 26D10; Secondary 46E35.
Key words and phrases. Hardy inequalities.

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