Open Mathematics (Jul 2019)

Two weight estimates for a class of (p, q) type sublinear operators and their commutators

  • Yunpeng Hu,
  • Jiang Zhou,
  • Yonghui Cao

DOI
https://doi.org/10.1515/math-2019-0061
Journal volume & issue
Vol. 17, no. 1
pp. 758 – 775

Abstract

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In the present paper, the authors investigate the two weight, weak-(p, q) type norm inequalities for a class of sublinear operators 𝓣γ and their commutators [b, 𝓣γ] on weighted Morrey and Amalgam spaces. What should be stressed is that we introduce the new BMO type space and our results generalize known results before.

Keywords