English

Extrapolation in Weighted Classical and Grand Lorentz Spaces. Application to the Boundedness of Integral operators

Functional Analysis 2019-10-04 v1

Abstract

We establish weighted extrapolation theorems in classical and grand Lorentz spaces. As a consequence we have the weighted boundedness of operators of Harmonic Analysis in grand Lorentz spaces. We treat both cases: diagonal and off-diagonal ones.

Keywords

Cite

@article{arxiv.1910.01362,
  title  = {Extrapolation in Weighted Classical and Grand Lorentz Spaces. Application to the Boundedness of Integral operators},
  author = {Vakhtang Kokilashvili and Alexander Meskhi},
  journal= {arXiv preprint arXiv:1910.01362},
  year   = {2019}
}

Comments

28 pages