Celebratio Mathematica

Antoni Zygmund

Chapter 1:
Calderón and Zygmund’s theory of singular integrals

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A. P. Calder­ón: “On the be­ha­viour of har­mon­ic func­tions at the bound­ary,” Trans. Am. Math. Soc. 68 : 1 (January 1950), pp. 47–​54. This was one of three pub­lished art­icles com­bined to make up the au­thor’s 1950 PhD thes­is. MR 0032863 Zbl 0035.​18901 article

A. P. Calder­ón: “On a the­or­em of Mar­cinkiewicz and Zyg­mund,” Trans. Am. Math. Soc. 68 : 1 (January 1950), pp. 55–​61. This was one of three pub­lished art­icles com­bined to make up the au­thor’s 1950 PhD thes­is. MR 0032864 Zbl 0035.​18903 article

A. P. Cal­der­on and A. Zyg­mund: “On the ex­ist­ence of cer­tain sin­gu­lar in­teg­rals,” Acta Math. 88 (December 1952), pp. 85–​139. Ded­ic­ated to Pro­fess­or Mar­cel Riesz, on the oc­ca­sion of his 65th birth­day. MR 0052553 Zbl 0047.​10201 article

A. P. Calder­ón and A. Zyg­mund: “On sin­gu­lar in­teg­rals,” Am. J. Math. 78 : 2 (April 1956), pp. 289–​309. MR 0084633 Zbl 0072.​11501 article

A. P. Calder­ón and A. Zyg­mund: “Al­geb­ras of cer­tain sin­gu­lar op­er­at­ors,” Am. J. Math. 78 : 2 (April 1956), pp. 310–​320. MR 0087810 Zbl 0072.​11601 article

A.-P. Calder­ón and A. Zyg­mund: “Sin­gu­lar in­teg­ral op­er­at­ors and dif­fer­en­tial equa­tions,” Am. J. Math. 79 : 4 (October 1957), pp. 901–​921. MR 0100768 Zbl 0081.​33502 article

A. P. Calder­ón: “Unique­ness in the Cauchy prob­lem for par­tial dif­fer­en­tial equa­tions,” Am. J. Math. 80 : 1 (January 1958), pp. 16–​36. MR 0104925 Zbl 0080.​30302 article

A. P. Calder­ón: “Ex­ist­ence and unique­ness the­or­ems for sys­tems of par­tial dif­fer­en­tial equa­tions,” pp. 147–​195 in Flu­id dy­nam­ics and ap­plied math­em­at­ics (Col­lege Park, MD, 28–29 April 1961). Edi­ted by J. B. Diaz and S. Bai. Gor­don and Breach (New York), 1962. MR 0156078 Zbl 0147.​08202 incollection

A. P. Calder­ón: “Bound­ary value prob­lems for el­lipt­ic equa­tions,” pp. 303–​304 in Out­lines of the joint So­viet–Amer­ic­an sym­posi­um on par­tial dif­fer­en­tial equa­tions (Nov­os­ibirsk, Au­gust 1963). Aka­demiia Nauk SSSR Sibirskoe Ot­del­e­nie (Mo­scow), 1963. MR 0203254 incollection

A. P. Calder­ón: “Com­mut­at­ors of sin­gu­lar in­teg­ral op­er­at­ors,” Proc. Natl. Acad. Sci. U.S.A. 53 : 5 (May 1965), pp. 1092–​1099. MR 0177312 Zbl 0151.​16901 article

A. P. Calder­ón and R. Vail­lan­court: “A class of bounded pseudo-dif­fer­en­tial op­er­at­ors,” Proc. Natl. Acad. Sci. U.S.A. 69 : 5 (May 1972), pp. 1185–​1187. MR 0298480 Zbl 0244.​35074 article

A. P. Calder­ón: “Cauchy in­teg­rals on Lipschitz curves and re­lated op­er­at­ors,” Proc. Natl. Acad. Sci. U.S.A. 74 : 4 (April 1977), pp. 1324–​1327. MR 0466568 Zbl 0373.​44003 article