Abstract
I recently proved that a large class of singular integral operators T∈ℒ(L p(μ)) have bounded tensor extensions to T∈ℒ(L p(μ;X)) provided that X is a UMD space with a certain additional property. Here I eliminate this extra condition on X by assuming a bit more about T, and sketch a program towards its full elimination.
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© 2009 Birkhäuser Verlag Basel/Switzerland
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Hytönen, T.P. (2009). Vector-valued Extension of Linear Operators, and Tb Theorems. In: Curbera, G.P., Mockenhaupt, G., Ricker, W.J. (eds) Vector Measures, Integration and Related Topics. Operator Theory: Advances and Applications, vol 201. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0211-2_22
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DOI: https://doi.org/10.1007/978-3-0346-0211-2_22
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