The Harmonic Bloch and Besov Spaces on the Real Unit Ball by an Oscillation
Let B be the real unit ball in Rn and f∈CN(B). Given a multi-index m=(m1,…,mn) of nonnegative integers with |m|=N, we set the quantity supx∈B,y∈E(x,r),x≠y(1-|x|2)α(1-|y|2)β|∂mf(x)-∂mf(y)|/|x-y|γ[x,y]1-γ, x≠y, where 0≤γ≤1 and α+β=N+1. In terms of it, we characterize harmonic Bloch and Besov spaces o...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/6814326 |