Abstract
The compactness of the commutators of bilinear fractional integral operators and point-wise multiplication, acting on products of Lebesgue spaces, is characterized in terms of appropriate mean oscillation properties of their symbols. The compactness of the commutators when acting on product of weighted Lebesgue spaces is also studied.
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Both authors partially supported by NSF grant DMS 1069015.
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Chaffee, L., Torres, R.H. Characterization of Compactness of the Commutators of Bilinear Fractional Integral Operators. Potential Anal 43, 481–494 (2015). https://doi.org/10.1007/s11118-015-9481-6
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DOI: https://doi.org/10.1007/s11118-015-9481-6
Keywords
- Bilinear operators
- Compact operators
- Singular integrals
- Fractional integrals
- Calderón-Zygmund theory
- Commutators
- Muckenhoupt weights
- Vector valued weights
- Weighted Lebesgue spaces