Weighted Integrals and Bloch Spaces of n-Harmonic Functions on the Polydisc

Abstract

We study anisotropic mixed norm spaces h( p, q, α) consisting of nharmonic functions on the unit polydisc of C n by means of fractional integrodifferentiation including small 0 < p < 1 and multi-indices α = (α 1 , . . . , α n ) with non-positive α j ≤ 0. As an application, two different Bloch spaces of n-harmonic functions are characterized.

𝒩p-type functions with Hadamard gaps in the unit ball

“…We refer the readers to the related results in [5][6][7][8][9][10][11][12][13][14][15][16][17] and the reference therein.…”

$\mathcal{N}_p$-type functions with Hadamard gaps in the unit ball

“…Hadamard gaps series on spaces of holomorphic functions in D or in B has been studied quite well. We refer the readers to the related results in [1,2,3,4,7,9,10,14,15,17,18,19,21] and the reference therein.…”