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Compactness of the commutators of parabolic singular integrals

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Abstract

In this paper, the authors prove that the commutator [b, T] of the parabolic singular integrals is a compact operator on L p(ℝn) (1 < p < ∞) if and only if b ∈ VMO(ℝn, ρ). The result is substantial improvement and extension of some known results.

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Authors and Affiliations

  1. Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing, 100083, China

    YanPing Chen

  2. School of Mathematical Science, Beijing Normal University, Beijing, 100875, China

    Yong Ding

  3. Laboratory of Mathematics and Complex Systems (BNU), Ministry of Education of China, Beijing, 100875, China

    Yong Ding

Authors
  1. YanPing Chen
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  2. Yong Ding
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Correspondence to Yong Ding.

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Chen, Y., Ding, Y. Compactness of the commutators of parabolic singular integrals. Sci. China Math. 53, 2633–2648 (2010). https://doi.org/10.1007/s11425-010-4004-9

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  • DOI: https://doi.org/10.1007/s11425-010-4004-9

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