Boundedness of fractional maximal operators between
classical and weak-type Lorentz spaces

David E. Edmunds; Bohumír Opic

doi:10.4064/dm410-0-1

Wydawnictwa / Czasopisma IMPAN / Dissertationes Mathematicae / Wszystkie zeszyty

Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces

Tom 410 / 2002

David E. Edmunds, Bohumír Opic Dissertationes Mathematicae 410 (2002), 1-50 MSC: 26D10, 42B25, 46E30, 47B38, 47G10, 46B70 DOI: 10.4064/dm410-0-1

Streszczenie

We derive conditions, which are both necessary and sufficient, for the boundedness of (power-logarithmic) fractional maximal operators between classical and weak-type Lorentz spaces.

Autorzy

David E. EdmundsCentre for Mathematical Analysis
and its Applications
University of Sussex
Falmer, Brighton BN1 9QH, England
e-mail
Bohumír OpicMathematical Institute
Academy of Sciences
of the Czech Republic
Žitná 25
115 67 Praha 1, Czech Republic
e-mail

Pobierz zgodnie z CC-BY

Przeszukaj wydawnictwa IMPAN