Two-weighted norm inequalities for the fractional integral operator between L^p and Lipschitz spaces

Czasopismo : Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
Tytuł artykułu : Two-weighted norm inequalities for the fractional integral operator between L^p and Lipschitz spaces

Autorzy :
Anioł, G.
Faculty of Mathematics and Computer Science Adam Mickiewicz University, Jana Matejki 48/49, 60-769 Poznań, Poland, ganiol@amu.edu.pl,
Banaś, J.
Department of Mathematics Technical University of Rzeszów W.Pola 2, 35-959 Rzeszów, piejko@prz.rzeszow.pl,
Bedouhene, F.
Depart.Maths.Faculté Sciences, Université de Tizi-Ouzou, Algérie, morsli@ifrance.com,
Benchohra, M.
Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece, antouyas@cc.uci.gr,
Bilgin, T.
Department of Mathematics University of 100.Yil, Van-Turkey,
Cichoń, M.
Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland, mcichon@amu.edu.pl,
Derrab, F.
Djillali Liabes University, 22000 Sidi Bel Abbes, Algeria,
Wang, J. C.
Department of Math., Suzhou University Suzhou, 215006, P.R. China,
Kita, H.
Department of Mathematics, Faculty of Education Kagoshima University, Korimoto 1-chome Kagoshima 890-0065, Japan, hkita@edu.kagoshima-u.ac.jp,
Misiak, A.
Instytut Matematyki, Politechnika Szczecińska, Al.Piastów 17, 70-310 Szczecin, misiak@arcadia.tuniv.szczecin.pl,
Narloch, A.
Szczecin University, Institute of Mathematics ul. Wielkopolska 15, 70-451 Szczecin, Poland, narloch@sus.univ.szczecin.pl,
Pradolini, G.
Programa Especial de Matematica Aplicata. Universidad Nacional del Litoral. Guernes 3450, 3000, santa Fe, Rep. Argentina,
Abstrakty : We characterize the pairs of weights for which the fractional integral of order y, I_y, is bounded from weighted Lebesgue spaces L^ into suitable weighted BMO and Lipschitz integral spaces with a weight w. We also study the properties of the classes of weights that arise in connection with this boundedness of I-y.

Słowa kluczowe : two-weigthed inequalities, fractional integral, weighted spaces, weighted Lipschitz spaces, weighted BMO spaces,
Wydawnictwo : Polskie Towarzystwo Matematyczne
Rocznik : 2001
Numer : [Z] 41
Strony : 147 – 169
Bibliografia :
DOI :
Cytuj : Anioł, G. ,Banaś, J. ,Bedouhene, F. ,Benchohra, M. ,Bilgin, T. ,Cichoń, M. ,Derrab, F. ,Wang, J. C. ,Kita, H. ,Misiak, A. ,Narloch, A. ,Pradolini, G. , Two-weighted norm inequalities for the fractional integral operator between L^p and Lipschitz spaces. Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae [Z] 41/2001
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