Disjoint strict singularity of inclusions between rearrangement invariant spaces

• Autorzy: Francisco L. Hernández , Víctor M. Sánchez , Evgueni M. Semenov
• Języki publikacji: EN

Abstrakty

EN

It is studied when inclusions between rearrangement invariant function spaces on the interval [0,∞) are disjointly strictly singular operators. In particular suitable criteria, in terms of the fundamental function, for the inclusions $L¹ ∩ L^{∞} ↪ E$ and $E ↪ L¹ + L^{∞}$ to be disjointly strictly singular are shown. Applications to the classes of Lorentz and Marcinkiewicz spaces are given.

Kategorie tematyczne

• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2001
• Tom: 144
• Numer: 3
• Strony: 209-226

Daty

wydano

2001

Twórcy

autor

Francisco L. Hernández

• Departament of Mathematical Analysis, Faculty of Mathematics, Complutense University, 28040 Madrid, Spain

autor

Víctor M. Sánchez

• Departament of Mathematical Analysis, Faculty of Mathematics, Complutense University, 28040 Madrid, Spain

autor

Evgueni M. Semenov

• Department of Mathematics, Voronezh State University, Voronezh 394693, Russia

Identyfikatory

DOI

10.4064/sm144-3-2