Geodesic
New characterization of Morrey spaces
Eurasian mathematical journal, Tome 4 (2013) no. 1, pp. 54-64

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In this paper we prove that the norm of the Morrey space $\mathcal{M}_{p,\lambda}$ is equivalent to $$ \sup\left\{\int_{\mathbb{R}^n}|fg|: \inf_{x\in\mathbb{R}^n}\int_0^\infty r^{\frac{n-\lambda}p-1}||g||_{L_{p'}(^\complement B(x,r))}dr\leqslant1\right\}. $$ 
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     author = {A. Gogatishvili and R. Ch. Mustafayev},
     title = {New characterization of {Morrey} spaces},
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A. Gogatishvili; R. Ch. Mustafayev. New characterization of Morrey spaces. Eurasian mathematical journal, Tome 4 (2013) no. 1, pp. 54-64. http://geodesic.mathdoc.fr/item/EMJ_2013_4_1_a4/