Interpolation of Morrey Spaces on Metric Measure Spaces
Canadian mathematical bulletin, Tome 57 (2014) no. 3, pp. 598-608
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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 ${{\mathbb{R}}^{n}}$ .
Mots-clés :
46B70, 46E30, complex interpolation, Morrey space, Gagliardo interpolation, Calderón product, quasimetric measure space
Lu, Yufeng; Yang, Dachun; Yuan, Wen. Interpolation of Morrey Spaces on Metric Measure Spaces. Canadian mathematical bulletin, Tome 57 (2014) no. 3, pp. 598-608. doi: 10.4153/CMB-2013-009-4
@article{10_4153_CMB_2013_009_4,
author = {Lu, Yufeng and Yang, Dachun and Yuan, Wen},
title = {Interpolation of {Morrey} {Spaces} on {Metric} {Measure} {Spaces}},
journal = {Canadian mathematical bulletin},
pages = {598--608},
year = {2014},
volume = {57},
number = {3},
doi = {10.4153/CMB-2013-009-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2013-009-4/}
}
TY - JOUR AU - Lu, Yufeng AU - Yang, Dachun AU - Yuan, Wen TI - Interpolation of Morrey Spaces on Metric Measure Spaces JO - Canadian mathematical bulletin PY - 2014 SP - 598 EP - 608 VL - 57 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2013-009-4/ DO - 10.4153/CMB-2013-009-4 ID - 10_4153_CMB_2013_009_4 ER -
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