On Hardy’s inequality in weighted rearrangement invariant spaces and applications. II

Maligranda, Lech

doi:10.1090/S0002-9939-83-99998-7

On Hardy’s inequality in weighted rearrangement invariant spaces and applications. II
HTML articles powered by AMS MathViewer

by Lech Maligranda

Proc. Amer. Math. Soc. 88 (1983), 75-80

DOI: https://doi.org/10.1090/S0002-9939-83-99998-7

PDF | Request permission

Abstract:

This note is a sequel to the preceding one with the same title published in these Proceedings. The contents of the first paper are assumed to be known. References are in alphabetical order in each paper, but they, as well as the theorems, are numbered consecutively.

References

Colin Bennett and Karl Rudnick, On Lorentz-Zygmund spaces, Dissertationes Math. (Rozprawy Mat.) 175 (1980), 67. MR 576995
Jöran Bergh and Jörgen Löfström, Interpolation spaces. An introduction, Grundlehren der Mathematischen Wissenschaften, No. 223, Springer-Verlag, Berlin-New York, 1976. MR 0482275, DOI 10.1007/978-3-642-66451-9
A.-P. Calderón, Spaces between $L^{1}$ and $L^{\infty }$ and the theorem of Marcinkiewicz, Studia Math. 26 (1966), 273–299. MR 203444, DOI 10.4064/sm-26-3-301-304
Jan Gustavsson, A function parameter in connection with interpolation of Banach spaces, Math. Scand. 42 (1978), no. 2, 289–305. MR 512275, DOI 10.7146/math.scand.a-11754
Hans P. Heinig, The Marcinkiewicz interpolation theorem extends to weighted spaces, Studia Math. 62 (1978), no. 2, 163–168. MR 499962, DOI 10.4064/sm-62-2-163-168
Tord Holmstedt, Interpolation of quasi-normed spaces, Math. Scand. 26 (1970), 177–199. MR 415352, DOI 10.7146/math.scand.a-10976
Claude Merucci, Quelques résultats d’interpolation pour les espaces de Lorentz, C. R. Acad. Sci. Paris Sér. A-B 280 (1975), no. 25, Ai, A1731–A1734 (French, with English summary). MR 374889
E. A. Pavlov, An interpolation theorem, Functional analysis, No. 8: Operator theory (Russian), Ul′janovsk. Gos. Ped. Inst., Ul′yanovsk, 1977, pp. 113–119 (Russian). MR 0627336
Lars-Erik Persson, On a weak-type theorem with applications, Proc. London Math. Soc. (3) 38 (1979), no. 2, 295–308. MR 531164, DOI 10.1112/plms/s3-38.2.295
Robert Sharpley, Spaces $\Lambda _{\alpha }(X)$ and interpolation, J. Functional Analysis 11 (1972), 479–513. MR 0344872, DOI 10.1016/0022-1236(72)90068-7
Alberto Torchinsky, Interpolation of operations and Orlicz classes, Studia Math. 59 (1976/77), no. 2, 177–207. MR 438105, DOI 10.4064/sm-59-2-177-207
Alberto Torchinsky, The $K$-functional for rearrangement invariant spaces, Studia Math. 64 (1979), no. 2, 175–190. MR 537119, DOI 10.4064/sm-64-2-175-190