Abstract
We introduce another notion of bounded logarithmic mean oscillation in the N-torus and give an equivalent definition in terms of boundedness of multi-parameter paraproducts from the dyadic little BMO, bmod(TN) to the dyadic product BMO space, BMOd(TN). We also obtain a sufficient condition for the boundedness of the iterated commutators from the subspace of bmo(ℝN) consisting of functions with support in [0,1]N to BMO(ℝN).
Original language | English |
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Pages (from-to) | 500-523 |
Number of pages | 24 |
Journal | Journal of Fourier Analysis and Applications |
Volume | 20 |
Issue number | 3 |
DOIs | |
Publication status | Published - Jun 2014 |
Externally published | Yes |
Keywords
- Bounded mean oscillation
- Haar basis
- Logarithmic mean oscillation
- Paraproduct
- Product domains