Abstract
Let 1 < p < ∞ and let μ be a compactly supported regular Borel measure on ℝn which has the property that there exists a t > 1 (p - 1) such that sup 0<r≤ ∫ ℝn(μ(B(x,r))/rp)t dμ(x) < ∞. We show that, for such a μ, any singular integral operator on L 2(ℝn, μ) with a smooth, homogeneous kernel of degree -1 belongs to the norm ideal Cp/(p-1)+.
| Original language | English |
|---|---|
| Pages (from-to) | 311-324 |
| Number of pages | 14 |
| Journal | Journal of Operator Theory |
| Volume | 49 |
| Issue number | 2 |
| State | Published - Mar 2003 |
Keywords
- Norm ideal
- Singular integral operator
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