Geodesic
Compact bilinear operators and paraproducts revisited
Canadian mathematical bulletin, Tome 68 (2025) no. 1, pp. 44-59

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DOI

We present a new proof of the compactness of bilinear paraproducts with CMO symbols. By drawing an analogy to compact linear operators, we first explore further properties of compact bilinear operators on Banach spaces and present examples. We then prove compactness of bilinear paraproducts with CMO symbols by combining one of the properties of compact bilinear operators thus obtained with vanishing Carleson measure estimates and interpolation of bilinear compactness.
DOI : 10.4153/S000843952400047X
Mots-clés : bilinear Calderón-Zygmund operator, T(1) theorem, compactness, Carleson measure, interpolation, paraproduct 
Bényi, Árpád; Li, Guopeng; Oh, Tadahiro; Torres, Rodolfo H. Compact bilinear operators and paraproducts revisited. Canadian mathematical bulletin, Tome 68 (2025) no. 1, pp. 44-59. doi: 10.4153/S000843952400047X
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     title = {Compact bilinear operators and paraproducts revisited},
     journal = {Canadian mathematical bulletin},
     pages = {44--59},
     year = {2025},
     volume = {68},
     number = {1},
     doi = {10.4153/S000843952400047X},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S000843952400047X/}
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