Weak type radial convolution operators on free groups

• Autorzy: Tadeusz Pytlik , Ryszard Szwarc
• Języki publikacji: EN

Abstrakty

EN

Radial convolution operators on free groups with nonnegative kernel of weak type (2,2) and of restricted weak type (2,2) are characterized. Estimates of weak type (p,p) are obtained as well for 1 < p < 2.

Kategorie tematyczne

• 43A15: L p -spaces and other function spaces on groups, semigroups, etc.
• 43A07: Means on groups, semigroups, etc.; amenable groups
• 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: 2008
• Tom: 186
• Numer: 1
• Strony: 77-86

Daty

wydano

2008

Twórcy

autor

Tadeusz Pytlik

• Institute of Mathematics, University of Wrocław, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

autor

Ryszard Szwarc

• Institute of Mathematics, University of Wrocław, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland
• Institute of Mathematics and Computer Science, University of Opole, Oleska 48, 45-052 Opole, Poland

Identyfikatory

DOI

10.4064/sm186-1-7