Atencia, E.; Martin-Reyes, F. J. Weak type inequalities for the maximal ergodic function and the maximal ergodic Hilbert transform in weighted spaces. (English) Zbl 0495.47022 Stud. Math. 78, 231-244 (1984). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 47B38 Linear operators on function spaces (general) 46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 42B25 Maximal functions, Littlewood-Paley theory 28D05 Measure-preserving transformations Keywords:weak type inequalities; ergodic transformation; maximal ergodic function; ergodic Hilbert transform; A1-weights; Muckenhoupt’s condition PDFBibTeX XMLCite \textit{E. Atencia} and \textit{F. J. Martin-Reyes}, Stud. Math. 78, 231--244 (1984; Zbl 0495.47022) Full Text: DOI EuDML