Stein–Weiss inequality on product spaces

• Zipeng Wang ^[1]
  1. [1] Westlake University, Cloud Town, Hangzhou
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 37, Nº 5, 2021, págs. 1641-1667
• Idioma: inglés
• DOI: 10.4171/rmi/1244
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• Resumen

  • We give a classification between weighted norm inequalities of strong fractional integral operators and their corresponding multi-parameter Muckenhoupt characteristics, by considering the weights to be power functions. As a result, we extend the classical Stein–Weiss theorem on product spaces.