Editor-in-Chief: Kiguradze, Ivan / Shervashidze, T.
Editorial Board Member: Kvinikadze, M. / Bantsuri, R. / Baues, Hans-Joachim / Besov, O.V. / Bojarski, B. / Duduchava, R. / Engelbert, Hans-Jürgen / Gamkrelidze, R. / Gubeladze, J. / Hirzebruch, F. / Inassaridze, Hvedri / Jibladze, M. / Kadeishvili, T. / Kegel, Otto H. / Kharazishvili, Alexander / Kharibegashvili, S. / Khmaladze, E. / Kiguradze, Tariel / Kokilashvili, V. / Krushkal, S. I. / Kurzweil, J. / Kwapien, S. / Lerche, Hans Rudolf / Mawhin, J. / Ricci, P.E. / Tarieladze, V. / Triebel, Hans / Vakhania, N. / Zanolin, Fabio
4 Issues per year
IMPACT FACTOR 2011: 0.262
Mathematical Citation Quotient 2011: 0.21
1Faculty of Exact and Natural Sciences, I. Javakhishvili Tbilisi State University, 2, University St., Tbilisi 0143, Georgia. E-mail: ekaterine_kapani@yahoo.com
2Faculty of Exact and Natural Sciences, I. Javakhishvili Tbilisi State University, 2, University St., Tbilisi 0143, Georgia. E-mail: t.kopaliani@math.sci.tsu.ge
Citation Information: Georgian Mathematical Journal. Volume 15, Issue 2, Pages 307–316, ISSN (Online) 1072-9176, ISSN (Print) 1072-947X, DOI: 10.1515/GMJ.2008.307, March 2010
We study the Hardy–Littlewood maximal operator 𝑀 on 𝐿𝑝(·) (Ω), where Ω ∈ is an open bounded domain with a Lipschitz boundary. Under the assumption that the exponent 𝑝 satisfies 1 < inf 𝑝(𝑥) ≤ sup 𝑝(𝑥) < ∞ and 𝑝 ∈ 𝑉𝑀𝑂1/|log|(Ω), we prove that 𝑀 is bounded on 𝐿𝑝(·) (Ω).
Key words and phrases:: Generalized Lebesgue space; Hardy–Litllewood maximal operator
Comments (0)