Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772466 | Journal of Functional Analysis | 2017 | 42 Pages |
Abstract
In this paper we prove a randomized difference norm characterization for Bessel potential spaces with values in UMD Banach spaces. The main ingredients are R-boundedness results for Fourier multiplier operators, which are of independent interest. As an application we characterize the pointwise multiplier property of the indicator function of the half-space on these spaces. All results are proved in the setting of weighted spaces.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Nick Lindemulder,