English

Multilinear fractional type operators and their commutators on Hardy spaces with variable exponents

Classical Analysis and ODEs 2019-07-19 v3

Abstract

In this article, we show that multilinear fractional type operators are bounded from product Hardy spaces with variable exponents into Lebesgue spaces with variable exponents via the atomic decomposition theory. We also study continuity properties of commutators of multilinear fractional type operators on product of certain Hardy spaces with variable exponents.

Keywords

Cite

@article{arxiv.1903.02200,
  title  = {Multilinear fractional type operators and their commutators on Hardy spaces with variable exponents},
  author = {Jian Tan},
  journal= {arXiv preprint arXiv:1903.02200},
  year   = {2019}
}

Comments

21 pages

R2 v1 2026-06-23T07:59:28.446Z