Anisotropic Herz-type Hardy spaces with variable exponent and their applications

作者：Zhao, H.; Zhou, J.^*

来源：Acta Mathematica Hungarica, 2018, 156(2): 309-335.

DOI：10.1007/s10474-018-0851-6

• anisotropic Herz-type Hardy space
• variable exponent
• atomic decomposition
• molecular decomposition

A class of anisotropic Herz-type Hardy spaces with variable exponent associated with a non-isotropic dilation on R n are introduced, and characterizations of these spaces are established in terms of atomic and molecular decompositions. As some applications of the decomposition theory, the authors study the interpolation problem and the boundedness of a linear operator on the anisotropic Herz-type Hardy spaces with variable exponent.

• 出版日期2018-12
• 单位新疆大学