English

Norm inequalities in generalized Morrey spaces

Classical Analysis and ODEs 2014-05-15 v3

Abstract

We prove that Calder\'on-Zygmund operators, Marcinkiewicz operators, maximal operators associated to Bochner-Riesz operators, operators with rough kernel as well as commutators associated to these operators which are known to be bounded on weighted Morrey spaces under appropriate conditions, are bounded on a wide family of function spaces.

Keywords

Cite

@article{arxiv.1205.6516,
  title  = {Norm inequalities in generalized Morrey spaces},
  author = {Justin Feuto},
  journal= {arXiv preprint arXiv:1205.6516},
  year   = {2014}
}

Comments

14 pages. According to the suggestion of the referee, we have changed the title. To appear in Journal of Fourier Analysis and Applications

R2 v1 2026-06-21T21:11:13.097Z