Duals of Anisotropic Hardy Spaces
- Feb. 23, 2012
- 2:30 p.m.
- LeConte 312
In the talk we first review the highly anisotropic Hardy spaces introduced in . We will discuss a careful approximation argument that is needed when analyzing dual spaces of Hardy spaces . This approach is essential, since a linear functional, uniformly bounded on all atoms, is not automatically bounded on spaces that have atomic representations .
 S. Dekel, P. Petrushev and T. Weissblat, Hardy spaces on $R^n$ with pointwise variable anisotropy, Fourier Analysis and Applications 17 (2011), 1066-1107.
 S. Dekel and T. Weissblat, On duals of anisotropic Hardy spaces, submitted.
 M. Bownik, Boundedness of operators on Hardy spaces via atomic decompositions, Proc. Amer. Math Soc. 133, 3535-3542 (2005).