Description

• Title:
  On multipolynomial extensions of Kahae-Salem-Zygmund inequality and applications
• Creator:
  Albuquerque, Nacib Gurgel;
  Coleta, Lindinês;
  Velanga, Thiago
• Description:
  Some classical and recent Kahane-Salem-Zygmund inequalities developed into several contexts are extended to multipolynomials. The study compares such extensions to each other to comprehend which of them yields the smallest norm for the associated function. Applications to the multilinear and polynomial scenarios are provided. For instance, a polynomial version of \cite[Corollary 1.2]{pelrap} is given, in which the constants are asymptotically bounded by $1$.
• Object availability:
  free access
• Date:
  2025.06.14
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Online First Articles; 1 - 12;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/62300/42801 ;https://apcz.umk.pl/TMNA/article/view/62300/42802
• Subject:
  Kahae-Salem-Zygmund inequality;
  multipolynomials;
  multilinear mappings;
  homogeneous polynomials;
  Primary: 47H60, 46G25;
  Secondary: 47A07, 46F30
• Identifier: https://apcz.umk.pl/TMNA/article/view/62300
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other