Spectrum of the Cesàro-Hardy operator in rearrangement invariant spaces
Akhymbek M. Tulenov K. Zaur G.
2024Taylor and Francis Ltd.
Quaestiones Mathematicae
2024#47Issue 61157 - 1175 pp.
In this paper, we investigate the spectrum of the Cesàro-Hardy operator in rearrangement invariant spaces over a finite interval and a half line, thereby extending Boyd’s and Leibowitz’s results for Lp(1 < p ⩽ 8) spaces. In particular, when our rearrangement invariant space is the Lorentz space Lp,q, a full description of the spectrum and fine spectra is presented.
Cesàro-Hardy operator , fine spectra , Lorentz Lp,q spaces , Rearrangement invariant spaces , spectrum
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Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, 9000, Belgium
Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
Institute of Mathematics and Mathematical Modeling
Institute of Mathematics and Mathematical Modeling
Al-Farabi Kazakh National University
Department of Mathematics: Analysis
Al-Farabi Kazakh National University
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