Abstract
© 2018 Elsevier Inc. In this paper we provide an extension of a theorem of David and Semmes [3] to general non-atomic measures. The result provides a geometric characterization of the non-atomic measures for which a certain class of square function operators, or singular integral operators, are bounded in L2. The description is given in terms of a modification of Jones’ β-coefficients.
Original language | English |
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Pages (from-to) | 60-112 |
Journal | Advances in Mathematics |
Volume | 339 |
DOIs | |
Publication status | Published - 1 Dec 2018 |
Keywords
- Geometric measure theory
- Singular integral operators