Skip to main navigation Skip to search Skip to main content

Singular integral operators associated with measures of varying density

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

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 languageEnglish
Pages (from-to)311-324
Number of pages14
JournalJournal of Operator Theory
Volume49
Issue number2
StatePublished - Mar 2003

Keywords

  • Norm ideal
  • Singular integral operator

Fingerprint

Dive into the research topics of 'Singular integral operators associated with measures of varying density'. Together they form a unique fingerprint.

Cite this