Besov spaces and 2-summing operators

• Autorzy: M. A. Fugarolas
• Języki publikacji: EN

Abstrakty

EN

Let Π₂ be the operator ideal of all absolutely 2-summing operators and let $I_{m}$ be the identity map of the m-dimensional linear space. We first establish upper estimates for some mixing norms of $I_{m}$. Employing these estimates, we study the embedding operators between Besov function spaces as mixing operators. The result obtained is applied to give sufficient conditions under which certain kinds of integral operators, acting on a Besov function space, belong to Π₂; in this context, we also consider the case of the square Π₂ ∘ Π₂.

Kategorie tematyczne

• 47L20: Operator ideals
• 47G10: Integral operators
• 46E35: Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
• 47B10: Operators belonging to operator ideals (nuclear, p -summing, in the Schatten-von Neumann classes, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2004
• Tom: 100
• Numer: 1
• Strony: 1-8

Daty

wydano

2004

Twórcy

autor

M. A. Fugarolas

• Departamento de Analisis Matematico, Facultad de Matematicas, Universidad de Santiago de Compostela, Campus Universitario Sur, 15782 Santiago de Compostela, Spain

Identyfikatory

DOI

10.4064/cm100-1-1