Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
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.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
285-298
Opis fizyczny
Daty
wydano
1992
otrzymano
1991-01-31
poprawiono
1991-07-08
poprawiono
1991-10-17
Twórcy
autor
- Department of Mathematics, Beijing Normal University, 100875 Beijing, P.R. China
autor
- Department of Mathematics, Beijing Normal University, 100875 Beijing, P.R. China.
Bibliografia
- [1] Y. Z. Chen and K. S. Lau, On some new classes of Hardy spaces, J. Funct. Anal. 84 (1989), 255-278.
- [2] C. Fefferman and E. M. Stein, $H^p$ spaces of several variables, Acta Math. 129 (1972), 137-193.
- [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.
- [4] M. Frazier and B. Jawerth, A discrete transform and decompositions of distribution spaces, J. Funct. Anal. 93 (1990), 34-170.
- [5] J. García-Cuerva, Hardy spaces and Beurling algebras, J. London Math. Soc. (2) 39 (1989), 499-513.
- [6] C. Herz, Lipschitz spaces and Bernstein's theorem on absolutely convergent Fourier transform, J. Math. Mech. 18 (1968), 283-324.
- [7] D. S. Kurtz, Littlewood-Paley operators on BMO, Proc. Amer. Math. Soc. 99 (1987), 657-666.
- [8] S. Lu and D. Yang, Some new Hardy spaces associated with the Herz spaces, to appear.
- [9] A. Torchinsky, Real-variable Methods in Harmonic Analysis, Academic Press, New York 1986.
- [10] D. Yang, The boundedness of generalized Littlewood-Paley functions, Chinese Ann. Math. Ser. A 12 (1991), 736-744.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
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