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Algebra i Analiz, 1996, Volume 8, Issue 5, Pages 32–162 (Mi aa736)  

This article is cited in 177 scientific papers (total in 177 papers)

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The hunt for a Bellman function: applications to estimates for singular integral operators and to other classical problems of harmonic analysis

F. L. Nazarov, S. R. Treil'

Department of Mathematics Michigan State University, East Lancing, MI
Received: 15.05.1996
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: F. L. Nazarov, S. R. Treil', “The hunt for a Bellman function: applications to estimates for singular integral operators and to other classical problems of harmonic analysis”, Algebra i Analiz, 8:5 (1996), 32–162; St. Petersburg Math. J., 8:5 (1997), 721–824
Citation in format AMSBIB
\Bibitem{NazTre96}
\by F.~L.~Nazarov, S.~R.~Treil'
\paper The hunt for a Bellman function: applications to estimates for singular integral operators and to other classical problems of harmonic analysis
\jour Algebra i Analiz
\yr 1996
\vol 8
\issue 5
\pages 32--162
\mathnet{http://mi.mathnet.ru/aa736}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1428988}
\zmath{https://zbmath.org/?q=an:0873.42011}
\transl
\jour St. Petersburg Math. J.
\yr 1997
\vol 8
\issue 5
\pages 721--824
Linking options:
  • https://www.mathnet.ru/eng/aa736
  • https://www.mathnet.ru/eng/aa/v8/i5/p32
  • This publication is cited in the following 177 articles:
    1. A. I. Parfenov, “Inductive methods for Hardy inequality on trees”, Ufa Math. J., 16:2 (2024), 36–65  mathnet  crossref
    2. St. Petersburg Math. J., 35:6 (2024), 1005–1011  mathnet  crossref
    3. Osekowski A., Rapicki M., “Sharp Weighted Inequalities For Harmonic Maximal Operators”, N. Y. J. Math., 28 (2022), 140–153  isi
    4. Fay I.H., “The Bellman Function Technique in Harmonic Analysis, Vol 186”, Bull. Amer. Math. Soc., 59:2 (2022), 293–296  crossref  isi
    5. Nikolidakis E., “The Bellman Function of the Dyadic Maximal Operator in Connection With the Dyadic Carleson Imbedding Theorem”, Forum Math., 34:3 (2022), 781–792  crossref  isi
    6. Isralowitz J., Pott S., Rivera-Rios I.P., “Sharp a(1) Weighted Estimates For Vector-Valued Operators”, J. Geom. Anal., 31:3 (2021), 3085–3116  crossref  isi
    7. Bownik M., Dziedziul K., Kamont A., “Smooth Orthogonal Projections on Riemannian Manifold”, Potential Anal., 54:1 (2021), 41–94  crossref  isi
    8. Nielsen M., Sikic H., “Muckenhoupt Matrix Weights”, J. Geom. Anal., 31:9 (2021), 8850–8865  crossref  isi
    9. Frazier M., Roudenko S., “Littlewood-Paley Theory For Matrix-Weighted Function Spaces”, Math. Ann., 380:1-2 (2021), 487–537  crossref  isi
    10. Kakaroumpas S., Treil S., ““Small Step” Remodeling and Counterexamples For Weighted Estimates With Arbitrarily “Smooth” Weights”, Adv. Math., 376 (2021), 107450  crossref  isi
    11. Osekowski A., Rapicki M., “Sharp Lorentz-Norm Estimates For Dyadic-Like Maximal Operators”, Studia Math., 257:1 (2021), 87–110  crossref  isi
    12. Osekowski A., Rapicki M., “A Weighted Maximal Weak-Type Inequality”, Mathematika, 67:1 (2021), 145–157  crossref  isi
    13. Isralowitz J., “Matrix Weighted Triebel-Lizorkin Bounds: a Simple Stopping Time Proof”, Proc. Amer. Math. Soc., 149:10 (2021), 4145–4158  crossref  isi
    14. V. A. Borovitskii, N. N. Osipov, A. S. Tselishchev, “On the Bellman function method for operators on martingales”, Dokl. Math., 103:3 (2021), 118–121  mathnet  crossref  crossref  zmath  elib
    15. Osekowski A., “The Dual Conjecture of Muckenhoupt and Wheeden”, Rev. Mat. Iberoam., 37:6 (2021), 2285–2308  crossref  isi
    16. Yuan H., Tang G., Li X., Guo D., Luo L., Luo X., “Online Dispatching and Fair Scheduling of Edge Computing Tasks: a Learning-Based Approach”, IEEE Internet Things J., 8:19 (2021), 14985–14998  crossref  isi
    17. Duong X.T., Li J., Yang D., “Variation of Calderon-Zygmund Operators With Matrix Weight”, Commun. Contemp. Math., 23:07 (2021), 2050062  crossref  isi
    18. Banuelos R., Galazka T., Osekowski A., “A Dual Approach to Burkholder'S Lp Estimates”, Bull. London Math. Soc., 53:4 (2021), 1107–1123  crossref  isi
    19. Kucharski M., “Dimension-Free Estimates For Riesz Transforms Related to the Harmonic Oscillator”, Colloq. Math., 165:1 (2021), 139–161  crossref  isi
    20. Cruz-Uribe D., Isralowitz J., Moen K., Pott S., Rivera-Rios I., “Weak Endpoint Bounds For Matrix Weights”, Rev. Mat. Iberoam., 37:4 (2021), 1513–1538  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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