$H^1$ to $L^q$-boundedness of fractional integral operators having a flag kernel
Abstract
We study a family of fractional integral operators whose kernels satisfying an non-isotropic dilation have singularity on a coordinate subspace. A characterization is given for these operators bounded from the classical, atom decomposable $H^1$-Hardy space to $L^q$-spaces.
Fields of Study & Subjects
Advanced Harmonic Analysis Research
Holomorphic and Operator Theory
Approximation Theory and Sequence Spaces
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 7 January 2026
- Document type
- Preprint