Norm convolution inequalities in Lebesgue spaces

• Erlan Nursultanov ^[1] ; Sergey Tikhonov ^[2] ; Nazerke Tleukhanova ^[3]
  1. [1] Moscow State University

     Moscow State University

     Rusia

     
  2. [2] Centre de Recerca Matematica

     Centre de Recerca Matematica

     Sardañola del Vallés, España

     
  3. [3] L. N. Gumilyov Eurasian National University

     L. N. Gumilyov Eurasian National University

     Kazajistán

     

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• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 34, Nº 2, 2018, págs. 811-838
• Idioma: inglés
• DOI: 10.4171/RMI/1004
• Texto completo no disponible (Saber más ...)
• Resumen

  • We obtain upper and similar lower estimates of the (Lp,Lq) norm for the convolution operator. The upper estimate improves on known convolution inequalities. The technique to obtain lower estimates is applied to study boundedness problems for oscillatory integrals.