The Littlewood-Paley function and φ-trans-form characterizations of a new Hardy space HK₂ associated with the Herz space

• Autorzy: Shanzhen Lu , Dachun Yang
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 42B25: Maximal functions, Littlewood-Paley theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1991-1992
• Tom: 101
• Numer: 3
• Strony: 285-298

Daty

wydano

1992

otrzymano

1991-01-31

poprawiono

1991-07-08

poprawiono

1991-10-17

Twórcy

autor

Shanzhen Lu

• Department of Mathematics, Beijing Normal University, 100875 Beijing, P.R. China

autor

Dachun Yang

• Department of Mathematics, Beijing Normal University, 100875 Beijing, P.R. China.

Bibliografia

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• [4] M. Frazier and B. Jawerth, A discrete transform and decompositions of distribution spaces, J. Funct. Anal. 93 (1990), 34-170.
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• [6] C. Herz, Lipschitz spaces and Bernstein's theorem on absolutely convergent Fourier transform, J. Math. Mech. 18 (1968), 283-324.
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• [9] A. Torchinsky, Real-variable Methods in Harmonic Analysis, Academic Press, New York 1986.
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