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article · Science China Mathematics · 1985

A VERSION OF CALDERN-ZYGMUND'S DECOMPOSITION AND ITS APPLICATIONS TO INTERPOLATION OF OPERATORS

Yuchun Han

Cited by 0Abstract and details only

Abstract

In this paper, applying atomic theory of H~p(R~n), we obtain a version of the Calderon Zygmund decompositions, i.e., for f ∈L~p(R~n), p1, and for any 0 p_1≤1Pp_2≤∞ andα0, we have f(x)-g(X)+b(x) such thatThis result can simplify the Fefferman and Stein theorem about interpolation between H~l(R~n) and L~p(R~n), and simplify the Coifman and Wciss theorem about interpolation between H~(p1)(R~n) and L~(p2)(R~n). Moreover, it extends the Strampachia theorem about interpolation of the (?)spaces.

Cite this paper

APA 7

Han, Y. (1985). A VERSION OF CALDERN-ZYGMUND'S DECOMPOSITION AND ITS APPLICATIONS TO INTERPOLATION OF OPERATORS. Science China Mathematics.

MLA 9

Han, Yuchun. “A VERSION OF CALDERN-ZYGMUND'S DECOMPOSITION AND ITS APPLICATIONS TO INTERPOLATION OF OPERATORS.” Science China Mathematics, 1985.

Chicago

Han, Yuchun. 1985. “A VERSION OF CALDERN-ZYGMUND'S DECOMPOSITION AND ITS APPLICATIONS TO INTERPOLATION OF OPERATORS.” Science China Mathematics.

Harvard

Han, Y. (1985) ‘A VERSION OF CALDERN-ZYGMUND'S DECOMPOSITION AND ITS APPLICATIONS TO INTERPOLATION OF OPERATORS’, Science China Mathematics.

BibTeX
@article{han1985version,
  title = {{A VERSION OF CALDERN-ZYGMUND'S DECOMPOSITION AND ITS APPLICATIONS TO INTERPOLATION OF OPERATORS}},
  author = {Han, Yuchun},
  journal = {Science China Mathematics},
  year = {1985}
}

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