Hardy–Littlewood Inequalities for Fractional Derivatives of Invariant Harmonic Functions
Hardy–Littlewood Inequalities for Fractional Derivatives of Invariant Harmonic Functions
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DOI:
10.1007/s11785-010-0123-0
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发表时间:
2010-11
影响因子:
0.8
通讯作者:
G. Ren;U. Kähler;Jihuai Shi;Congwen Liu
中科院分区:
文献类型:
--
作者:
G. Ren;U. Kähler;Jihuai Shi;Congwen Liu
We establish Hardy–Littlewood inequalities for fractional derivatives of Möbius invariant harmonic functions over the unit ball ofin mixed-norm spaces. In doing so we introduce a new criteria for the boundedness of operators in mixed-normLp-spaces in terms of hyperbolic geometry of the real unit ball.