Generalizations of inequalities of littlewood and paley
For a function f, holomorphic in the open unit ball Bn in Cn, with f(0)=0, we prove (I) If 0<s≤2 and s≤p<∞ Then ‖f‖pp≤C∫01∫∂Bn|f(ρζ)|p−s|Rf(ρζ)|s(log1/ρ)s−1ρ−1dσ(ζ)dρ (ii) If 2≤B≤p<∞ Then ∫01∫∂Bn|f(ρζ)|p−s|Rf(ρζ)|s(log1/ρ)s−1ρ−1dσ(ζ)dρ≤C‖f‖pp where Rf is the radial dervative of f, generaliz...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171293000250 |
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