Interpolation of Morrey Spaces on Metric Measure Spaces

Lu, Yufeng ; Yang, Dachun ; Yuan, Wen

Canadian mathematical bulletin, Tome 57 (2014) no. 3, pp. 598-608

Résumé

In this article, via the classical complex interpolation method and some interpolation methods traced to Gagliardo, the authors obtain an interpolation theorem for Morrey spaces on quasimetric measure spaces, which generalizes some known results on ${{\mathbb{R}}^{n}}$ .

Détail

DOI : 10.4153/CMB-2013-009-4

Mots-clés : 46B70, 46E30, complex interpolation, Morrey space, Gagliardo interpolation, Calderón product, quasimetric measure space

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