Weighted norm inequalities for singular integrals

Makoto KANEKO; Shigeki YANO

doi:10.2969/jmsj/02740570

Makoto KANEKO, Shigeki YANO

著者情報

ジャーナルフリー

1975 年 27 巻 4 号 p. 570-588

DOI https://doi.org/10.2969/jmsj/02740570

詳細

Published: 1975 Received: 1974/12/12 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) R. R. Coifman, Distribution function inequalities for singular integrals, Proc. Nat. Acad. Sci. U. S. A., 69 (1972), 2838-2839.
2) R. R. Coifman and C. Fefferman, Weighted norm inequalities for maximal functions and singular integrals, Studia Math., to appear.
3) R. Fefferman and E. M. Stein, H^p spaces of several variables, Acta Math., 129 (1972), 137-193.
4) F. Forelli, The M. Riesz theorem on conjugate functions, Trans. Amer. Math. Soc., 106 (1968), 369-390.
5) R. F. Gundy and R. L. Wheeden, Weighted integral inequalities for the nontangential maximal functions, Lusin area integral and Walsh-Paley series, Studia Math., 49 (1974), 107-124.
6) R. A. Hunt, B. Muckenhoupt and R. Wheeden, Weighted norm inequalities for the conjugate function and Hilbert transform, Trans. Amer. Math. Soc., 176 (1973), 227-251.
7) B. Muckenhoupt, Weighted norm inequalities for Hardy maximal function, Trans. Amer. Math. Soc., 165 (1972), 207-226.
8) B. Muckenhoupt, The equivalence of two conditions for weight functions, Studia Math., 49 (1974), 101-106.
9) E. M. Stein, Singular integrals and differentiability properties of functions, Princeton, 1970.
10) S, Yano, On Marcinkiewicz integrals, Tohoku Math. J., to appear.
11) A. Zygmund, On singular integrals, Rend. Mat., 16 (1957), 468-505.
12) A. Zygmund, On certain lemmas of Carleson and Marcinkiewicz, J. Approximation Theory, 2 (1969), 249-257.

Right : [1] R. R. Coifman, Distribution function inequalities for singular integrals, Proc. Nat. Acad. Sci. U. S. A., 69 (1972), 2838-2839.
[2] R. R. Coifman and C. Fefferman, Weighted norm inequalities for maximal functions and singular integrals, Studia Math., to appear.
[3] R. Fefferman and E. M. Stein, H^p spaces of several variables, Acta Math., 129 (1972), 137-193.
[4] F. Forelli, The M. Riesz theorem on conjugate functions, Trans. Amer. Math. Soc., 106 (1968), 369-390.
[5] R. F. Gundy and R. L. Wheeden, Weighted integral inequalities for the nontangential maximal functions, Lusin area integral and Walsh-Paley series, Studia Math., 49 (1974), 107-124.
[6] R. A. Hunt, B. Muckenhoupt and R. Wheeden, Weighted norm inequalities for the conjugate function and Hilbert transform, Trans. Amer. Math. Soc., 176 (1973), 227-251.
[7] B. Muckenhoupt, Weighted norm inequalities for Hardy maximal function, Trans. Amer. Math. Soc., 165 (1972), 207-226.
[8] B. Muckenhoupt, The equivalence of two conditions for weight functions, Studia Math., 49 (1974), 101-106.
[9] E. M. Stein, Singular integrals and differentiability properties of functions, Princeton, 1970.
[10] S, Yano, On Marcinkiewicz integrals, Tôhoku Math. J., to appear.
[11] A. Zygmund, On singular integrals, Rend. Mat., 16 (1957), 468-505.
[12] A. Zygmund, On certain lemmas of Carleson and Marcinkiewicz, J. Approximation Theory, 2 (1969), 249-257.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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