Filomat 2006 Volume 20, Issue 2, Pages: 101-105
https://doi.org/10.2298/FIL0602105D
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A Littlewood-Paley type inequality for harmonic functions in the unit ball of Rⁿ
Đordjević Olivera (Fakultet organizacionih nauka, Belgrade)
It is proved the following: If u is a function harmonic in the unit ball B RN, and 0 < p < 1, then there holds the inequality In the case p > (N 2)=(N- 1), this was proved by Stević [17].
Keywords: Littlewood-Paley inequalities, harmonic functions