Factoring multi-sublinear maps |
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Authors: | Geoff Diestel |
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Affiliation: | Texas A&M University-Central Texas, 1001 Leadership Place Founder?s Hall, Killeen, TX 76549, USA |
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Abstract: | Using Rademacher type, maximal estimates are established for k-sublinear operators with values in the space of measurable functions. Maurey–Nikishin factorization implies that such operators factor through a weak-type Lebesgue space. This extends known results for sublinear operators and improves some results for bilinear operators. For example, any continuous bilinear operator from a product of type 2 spaces into the space of measurable functions factors through a Banach space. Also included are applications for multilinear translation invariant operators. |
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Keywords: | Factorization Type Cotype Bilinear operators Multilinear operators Fourier series |
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