Anisotropic Mixed-Norm Hardy Spaces

作者：Cleanthous G; Georgiadis A G; Nielsen M^*

来源：Journal of Geometric Analysis, 2017, 27(4): 2758-2787.

DOI：10.1007/s12220-017-9781-8

• Anisotropic
• Mixed-norms
• Distributions
• Hardy spaces
• Maximal operators
• Lebesgue spaces
• Poisson kernel

We introduce and explore Hardy spaces defined by mixed Lebesgue norms and anisotropic dilations. We prove that the definitions of these spaces in terms of smooth, non-tangential, auxiliary, grand, and Poisson maximal operators coincide. We also study the relation between anisotropic mixed-norm Hardy spaces and mixed-norm Lebesgue spaces.

• 出版日期2017-10