Projection operators on matrix weighted Lp and a simple sufficient Muckenhoupt condition

• Morten Nielsen ^[1] ; Morten Grud Rasmussen ^[1]
  1. [1] Aalborg University

     Aalborg University

     Dinamarca

     
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 123, Nº 1, 2018, págs. 72-84
• Idioma: inglés
• DOI: 10.7146/math.scand.a-103316
• Texto completo no disponible (Saber más ...)
• Resumen

  • Boundedness for a class of projection operators, which includes the coordinate projections, on matrix weighted Lp-spaces is completely characterised in terms of simple scalar conditions. Using the projection result, sufficient conditions, which are straightforward to verify, are obtained that ensure that a given matrix weight is contained in the Muckenhoupt matrix Ap class. Applications to singular integral operators with product kernels are considered.