Abstract
Let X be a space of homogeneous type with finite measure. Let T be a singular integral operator which is bounded on Lp(X), 1 < p < ∞. We give a sufficient condition on the kernel k(x, y) of T so that when a function b ε BMO (X), the commutator [b, T] (f) = T (bf) - bT (f) is bounded on spaces Lp for all p, 1< p < ∞.
Original language | English |
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Pages (from-to) | 41-55 |
Number of pages | 15 |
Journal | Analysis in Theory and Applications |
Volume | 22 |
Issue number | 1 |
DOIs | |
Publication status | Published - Mar 2006 |
Keywords
- BMO function
- Commutator
- homogeneous space
- singular integral operator