English

Boundedness of singular integral operators with variable kernels on weighted weak Hardy spaces

Classical Analysis and ODEs 2014-01-27 v3

Abstract

Let TΩT_\Omega be the singular integral operator with variable kernel Ω(x,z)\Omega(x,z). In this paper, by using the atomic decomposition theory of weighted weak Hardy spaces, we will obtain the boundedness properties of TΩT_\Omega on these spaces, under some Dini type conditions imposed on the variable kernel Ω(x,z)\Omega(x,z).

Keywords

Cite

@article{arxiv.1111.4269,
  title  = {Boundedness of singular integral operators with variable kernels on weighted weak Hardy spaces},
  author = {Hua Wang},
  journal= {arXiv preprint arXiv:1111.4269},
  year   = {2014}
}

Comments

12 pages. arXiv admin note: substantial text overlap with arXiv:1207.1242, arXiv:1111.5075, arXiv:1010.0862

R2 v1 2026-06-21T19:37:54.498Z