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Interpolation of compact bilinear operators among quasi‐Banach spaces and applications |
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| Abstract: | We study the interpolation properties of compact bilinear operators by the general real method among quasi‐Banach couples. As an application we show that commutators of Calderón–Zygmund bilinear operators  are compact provided that  ,  and  . |
| Keywords: | commutators of Calderó n– Zygmund operators compact bilinear operators interpolation of compact bilinear operators among spaces real interpolation of quasi‐Banach couples Primary: 46M35 47B07 Secondary: 42B20 47B38 |