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Fefferman, Robert; Stein, Elias M.

Singular integrals on product spaces. (English) Zbl 0517.42024

Adv. Math. 45, 117-143 (1982).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0517.42024

Cited in 3 Reviews
Cited in 163 Documents

MSC:

42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)

Keywords:

singular integrals; convolution operators; Hilbert transform; maximal estimates
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Full Text: DOI

References:

[1] Calderón, A. P.; Torchinsky, A., Parabolic maximal functions associated with a distribution, Advances in Math., 16, 1-64 (1975) · Zbl 0315.46037
[2] Calderón, A. P.; Zygmund, A., On the existence of certain singular integrals, Acta Math., 88, 85-139 (1962) · Zbl 0047.10201
[3] Coifman, R. R.; Fefferman, C., Weighted norm inequalities for maximal functions and singular integrals, Studia Math., 51, 241-250 (1974) · Zbl 0291.44007
[4] Fefferman, C., Estimates for double Hilbert transforms, Studia Math., 51, 1-15 (1974) · Zbl 0239.44006
[5] Fefferman, C.; Stein, E. M., Some maximal inequalities, Amer. J. Math., 93, 107-115 (1971) · Zbl 0222.26019
[6] Fefferman, R., Singular integrals on product domains, Bull. Amer. Math. Soc., 4, 195-201 (1981) · Zbl 0466.42007
[7] Gundy, R. F.; Stein, E. M., \(H^p\) theory for the poly-disc, (Proc. Nat. Acad. Sci., 76 (1979)), 1026-1029 · Zbl 0405.32002
[8] Hunt, R.; Muckenhoupt, B.; Wheeden, R., Weighted norm inequalties for conjugate functions and Hilbert transforms, Trans. Amer. Math. Soc., 176, 227-251 (1973) · Zbl 0262.44004
[9] Merryfield, K. G., \(H^p\) Spaces in Poly-Half Spaces, (Dissertation (1980), University of Chicago)
[10] Phong, D. H.; Stein, E. M., Some further classes of pseudo-differential and singular integral operators arising in boundary value problems I, Amer. J. Math., 104, 141-172 (1982) · Zbl 0526.35079
[11] Stein, E. M., Singular Integrals and Differentiability Properties of Functions (1970), Princeton Univ. Press · Zbl 0207.13501
[12] Stein, E. M., On limits of sequences of operators, Ann. of Math., 74, 140-170 (1961) · Zbl 0103.08903
[13] Stein, E. M., Maximal functions: Spherical means, (Proc. Nat. Acad. Sci., 73 (1976)), 2174-2175 · Zbl 0332.42018
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