On sharp reiteration theorems and weighted norm inequalities
作者： Jesús Bastero , Mario Milman , Francisco Ruiz
关键词:
摘要: We prove sharp end forms of Holmstedt’s reiteration theorem which are closely connected with a general form Gehring’s Lemma. Reverse type conditions for the Hardy-Littlewood-Polya order considered and maximal elements shown to satisfy generalized Gehring conditions. The methods we use elementary based on variants reverse Hardy inequalities monotone functions.
sci-hub.st 参考文章(24)
Tord Holmstedt, Interpolation of Quasi-Normed Spaces. Mathematica Scandinavica. ,vol. 26, pp. 177- 199 ,(1970) , 10.7146/MATH.SCAND.A-10976
A. Calderón, Spaces between $L^{1}$ and $L^{∞}$ and the theorem of Marcinkiewicz Studia Mathematica. ,vol. 26, pp. 301- 304 ,(1966) , 10.4064/SM-26-3-301-304
Jörgen Löfström, Jöran Bergh, Interpolation Spaces: An Introduction ,(2011)
Mieczysław Mastyło, On the relation between complex and real methods of interpolation Studia Mathematica. ,vol. 125, pp. 201- 218 ,(1997) , 10.4064/SM-125-3-201-218
Lech Maligranda, Natan Ya. Krugljak, Irina U. Asekritova, Lars-Erik Persson, Distribution and rearrangement estimates of the maximal function and interpolation Studia Mathematica. ,vol. 124, pp. 107- 132 ,(1997)
M Sharpley, C. Bennett, Interpolation of operators ,(1987)
I︠u︡. A Brudnyĭ, N. Ya Krugljak, Interpolation functors and interpolation spaces North-Holland , Distributors for the U.S. and Canada, Elsevier Science Pub. Co. ,(1991)
Jaak Peetre, V. I. Ovchinnikov, The Method of Orbits in Interpolation Theory ,(1984)
Jesús Bastero, Francisco J. Ruiz, Elementary reverse Hölder type inequalities with application to operator interpolation theory Proceedings of the American Mathematical Society. ,vol. 124, pp. 3183- 3192 ,(1996) , 10.1090/S0002-9939-96-03651-9
Benjamin Muckenhoupt, Hardy's inequality with weights Studia Mathematica. ,vol. 44, pp. 31- 38 ,(1972) , 10.4064/SM-44-1-31-38