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Lipschitz $(p,\sigma ,q,\eta )$-dominated operators

Nahuel Albarracín, Amar Bougoutaia, Amar Belacel, Pablo Turco Colloquium Mathematicum MSC: Primary 47L20; Secondary 46E15, 47B10, 26A16 DOI: 10.4064/cm9434-5-2025 Opublikowany online: 1 July 2025

Streszczenie

Given $1\leq p,q \lt \infty $ and $0\leq \sigma ,\eta \lt 1$ such that $\frac{1-\sigma}{p}+\frac{1-\eta }{q}\leq 1,$ we continue the study of the Banach Lipschitz ideal of $(p,\sigma ,q,\eta )$-dominated operators initiated by Saleh. Among other results, we introduce an associated Lipschitz tensor norm, implying that it is a maximal Banach Lipschitz operator ideal. Also, we show that this ideal extends the Banach operator ideal of $(p,\sigma ,q,\eta )$-dominated operators. Finally, we exhibit other Lipschitz operator ideals which also extend this operator ideal and we compare them with each other.

Autorzy

  • Nahuel AlbarracínIMAS–UBA–CONICET
    Facultad de Ciencias Exactas y Naturales
    Universidad de Buenos Aires
    1428 Buenos Aires, Argentina
    e-mail
  • Amar BougoutaiaLaboratory of Pure and
    Applied Mathematics (LPAM)
    University of Laghouat
    Laghouat, Algeria
    e-mail
  • Amar BelacelLaboratory of Pure and
    Applied Mathematics (LPAM)
    University of Laghouat
    Laghouat, Algeria
    e-mail
  • Pablo TurcoIMAS–UBA–CONICET
    Facultad de Ciencias Exactas y Naturales
    Universidad de Buenos Aires
    1428 Buenos Aires, Argentina
    e-mail

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