The Littlewood-Paley function and φ-trans-form characterizations of a new Hardy space HK₂ associated with the Herz space
Lu, Shanzhen ; Yang, Dachun
Studia Mathematica, Tome 103 (1992), p. 285-298 / Harvested from The Polish Digital Mathematics Library

We give a Littlewood-Paley function characterization of a new Hardy space HK₂ and its φ-transform characterizations in M. Frazier & B. Jawerth's sense.

Publié le : 1992-01-01
EUDML-ID : urn:eudml:doc:215906
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     author = {Shanzhen Lu and Dachun Yang},
     title = {The Littlewood-Paley function and ph-trans-form characterizations of a new Hardy space HK2 associated with the Herz space},
     journal = {Studia Mathematica},
     volume = {103},
     year = {1992},
     pages = {285-298},
     zbl = {0811.42005},
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Lu, Shanzhen; Yang, Dachun. The Littlewood-Paley function and φ-trans-form characterizations of a new Hardy space HK₂ associated with the Herz space. Studia Mathematica, Tome 103 (1992) pp. 285-298. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv101i3p285bwm/

[00000] [1] Y. Z. Chen and K. S. Lau, On some new classes of Hardy spaces, J. Funct. Anal. 84 (1989), 255-278. | Zbl 0677.30030

[00001] [2] C. Fefferman and E. M. Stein, Hp spaces of several variables, Acta Math. 129 (1972), 137-193. | Zbl 0257.46078

[00002] [3] M. Frazier and B. Jawerth, The φ-transform and applications to distribution spaces, in: Function Spaces and Applications, Lecture Notes in Math. 1302, Springer, 1988, 223-246. | Zbl 0648.46038

[00003] [4] M. Frazier and B. Jawerth, A discrete transform and decompositions of distribution spaces, J. Funct. Anal. 93 (1990), 34-170.

[00004] [5] J. García-Cuerva, Hardy spaces and Beurling algebras, J. London Math. Soc. (2) 39 (1989), 499-513.

[00005] [6] C. Herz, Lipschitz spaces and Bernstein's theorem on absolutely convergent Fourier transform, J. Math. Mech. 18 (1968), 283-324.

[00006] [7] D. S. Kurtz, Littlewood-Paley operators on BMO, Proc. Amer. Math. Soc. 99 (1987), 657-666.

[00007] [8] S. Lu and D. Yang, Some new Hardy spaces associated with the Herz spaces, to appear. | Zbl 0782.42019

[00008] [9] A. Torchinsky, Real-variable Methods in Harmonic Analysis, Academic Press, New York 1986.

[00009] [10] D. Yang, The boundedness of generalized Littlewood-Paley functions, Chinese Ann. Math. Ser. A 12 (1991), 736-744. | Zbl 0758.42013