Published Papers

You have here a free andunrestricted access to the last (or last but one)drafts of my papers that haveappeared in print. I should warn you that they differfrom the actual publications in several aspects:

English is very far from perfection
Headings and other polygraphic beauties are pretty primitive
References, acknowledgements and so on are usually absent
Epigraphs, "flippant" remarks etc. that editors were too unhappy with to let them appear in print are present

If you want a good, respectable, and copyright protected version of the paper,just click on the "AMS Review" reference in the correspondingsection (warning: to use this option, you should be a MathSciNet subscriber)and then click on thepink "Order from MathDoc" box. You'll get the best your money (if youhave any left) can buy...

If you have any questions or commentsabout mathematics in any of the papersbelow, feel free to ask me. The best way is toE-mail me at fedja@math.msu.edu.

ONE MORE WARNING: Unfortunately, AMS often reshuffles itsreview web page URL addresses (sometimes without any apparent reason),so you have a good chance to get a review of the next or of the previous paperinstead of the paper you clicked on. I am going to update thereferences quarterly, but I doubt I'll be able to keep pace with their"improvements". Anyway, you can always go directly to My AMS author page and search the review from there.


On the Reinhardt problem of lattice packings of convex regions.Local extremality of the Reinhardt octagon.Zap. Nauchn. Sem. LOMI 151 (1986), Issled. Teor. Chisel. 9, pp. 104--114.

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The covering of a convex polygon by triangles with fixed vertices(joint with Bogomolnaya A.V. and Rukshin S.E)Mat. Zametki 44 (1988), no. 2, 191--195, 286; translation in Math. Notes 44 (1988), no. 1-2, pp. 586--589

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Arrangement of pyramids in a convex polyhedron. Soobshch. Akad. Nauk Gruzin. SSR 132 (1988), no.1, pp. 29--32.

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On the theorems of Turan, Amrein and Berthier, and Zygmund. Zap. Nauchn. Sem. LOMI, 201 (1992), Issled. po Linein. Oper. Teor. Funktsii. 20, pp. 117--123.

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Local estimates for exponential polynomials and their applications to inequalities of the uncertainty principle type.Algebra i Analiz 5 (1993), no. 4, pp. 3--66.

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On a proof of the Littlewood conjecture by McGehee, Pigno and Smith. Algebra i Analiz 7 (1995), no.2, pp. 106--120.

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The behavior of the Lebesgue constants oftwo-dimensional Fourier sums over polygons.(joint with Podkorytov A.N.)Algebra i Analiz 7 (1995), no. 4, pp. 214--238;translation in St. Petersburg Math. J. 7 (1996), no. 4, pp. 663--680

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The weighted norm inequalities for Hilbert transform are now trivial.(joint with Treil S.R.) C. R. Acad. Sci. Paris Sér. IMath. 323 (1996), no. 7, pp. 717--722.

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The hunt for a Bellman function: applications to estimates for singular integral operators andto other classical problems of harmonic analysis. (joint with Treil S.R.) Algebra i Analiz 8 (1996), no. 5, pp. 32--162.

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Counterexample to the infinite-dimensional Carleson embedding theorem. (joint with Treil S.R. and Volberg A.L.)C. R.Acad. Sci. Paris Sér. I Math. 325 (1997), no. 4, pp. 383--388.

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The Bang solution of the coefficient problem. Algebra i Analiz 9 (1997), no. 2, pp. 272--287.

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Cauchy integral and Calderon-Zygmund operators on nonhomogeneous spaces. (joint with Treil S.R. and Volberg A.L.)Internat. Math.Res. Notices 1997, no. 15, pp. 703--726.

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Weak type estimates and Cotlar inequalities for Calderon-Zygmundoperators on nonhomogeneous spaces. (joint with Treil S.R. and Volberg A.L.)Internat. Math.Res. Notices 1998, no. 9, pp. 463--487.

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The Bellman function and two-weight inequalities for Haar multipliers. (joint with Treil S.R. and Volberg A.L.)Journal of Amer. Math.Soc., to appear.

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