Anisotropic Local Hardy Spaces

作者：Betancor Jorge J^*; Damian Wendolin

来源：Journal of Fourier Analysis and Applications, 2010, 16(5): 658-675.

DOI：10.1007/s00041-010-9121-x

• Local Hardy spaces
• Anisotropic Hardy spaces
• Atomic decomposition

In this paper we introduce and study the anisotropic local Hardy spaces h(A)(p) (R(n)) 0 < p <= 1, associated with the expansive matrix A. We obtain an atomic characterization of the distributions in h(A)(p) (R(n)). Also we describe the dual spaces of our local Hardy anisotropic spaces as anisotropic Campanato type spaces.

• 出版日期2010-10