Abstract
We study interpolation, generated by an abstract method of means, of bilinear operators between quasi-Banach spaces. It is shown that under suitable conditions on the type of these spaces and the boundedness of the classical convolution operator between the corresponding quasi-Banach sequence spaces, bilinear interpolation is possible. Applications to the classical real method spaces, Calderón-Lozanovsky spaces, and Lorentz-Zygmund spaces are presented.
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The author is supported by the National Science Foundation under grant DMS 0099881.
The author is supported by KBN Grant 1 P03A 013 26.
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Grafakos, L., Mastyło, M. Interpolation of Bilinear Operators Between Quasi-Banach Spaces. Positivity 10, 409–429 (2006). https://doi.org/10.1007/s11117-005-0034-x
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DOI: https://doi.org/10.1007/s11117-005-0034-x