Multiplier theorems for Herz type Hardy spaces

Lu, Shanzhen; Yang, Dachun

doi:10.1090/S0002-9939-98-04931-4

Multiplier theorems for Herz type Hardy spaces
HTML articles powered by AMS MathViewer

by Shanzhen Lu and Dachun Yang

Proc. Amer. Math. Soc. 126 (1998), 3337-3346

DOI: https://doi.org/10.1090/S0002-9939-98-04931-4

PDF | Request permission

Abstract:

In this paper, the authors establish a multiplier theorem for Herz type Hardy spaces.

References

A. Baernstein II and E. T. Sawyer, Embedding and multiplier theorems for $H^P(\textbf {R}^n)$, Mem. Amer. Math. Soc. 53 (1985), no. 318, iv+82. MR 776176, DOI 10.1090/memo/0318
Yong Zhuo Chen and Ka-Sing Lau, Some new classes of Hardy spaces, J. Funct. Anal. 84 (1989), no. 2, 255–278. MR 1001460, DOI 10.1016/0022-1236(89)90097-9
Ronald R. Coifman and Guido Weiss, Extensions of Hardy spaces and their use in analysis, Bull. Amer. Math. Soc. 83 (1977), no. 4, 569–645. MR 447954, DOI 10.1090/S0002-9904-1977-14325-5
C. Fefferman and E. M. Stein, $H^{p}$ spaces of several variables, Acta Math. 129 (1972), no. 3-4, 137–193. MR 447953, DOI 10.1007/BF02392215
José García-Cuerva, Hardy spaces and Beurling algebras, J. London Math. Soc. (2) 39 (1989), no. 3, 499–513. MR 1002462, DOI 10.1112/jlms/s2-39.3.499
Shan Zhen Lu and Da Chun Yang, The Littlewood-Paley function and $\phi$-transform characterizations of a new Hardy space $HK_2$ associated with the Herz space, Studia Math. 101 (1992), no. 3, 285–298. MR 1153785, DOI 10.4064/sm-101-3-285-298
Shan Zhen Lu and Da Chun Yang, The decomposition of weighted Herz space on $\mathbf R^n$ and its applications, Sci. China Ser. A 38 (1995), no. 2, 147–158. MR 1338138
Shan Zhen Lu and Da Chun Yang, The weighted Herz-type Hardy space and its applications, Sci. China Ser. A 38 (1995), no. 6, 662–673. MR 1351232
D. C. Yang, Some Hardy Spaces Associated with the Herz Spaces, Doctoral Dissertation, Beijing Normal University, Beijing, 1992.