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Algebra i Analiz, 2003, Volume 15, Issue 4, Pages 142–158 (Mi aa812)  

This article is cited in 66 scientific papers (total in 66 papers)

Research Papers

Heating of the Beurling operator and the estimates of its norm

A. L. Vol'bergab, F. L. Nazarovc

a Michigan State University
b Université Pierre & Marie Curie, Paris VI
c Michigan State University, Department of Mathematics
References:
Received: 20.12.2002
English version:
St. Petersburg Mathematical Journal, 2004, Volume 15, Issue 4, Pages 563–573
DOI: https://doi.org/10.1090/S1061-0022-04-00822-2
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. L. Vol'berg, F. L. Nazarov, “Heating of the Beurling operator and the estimates of its norm”, Algebra i Analiz, 15:4 (2003), 142–158; St. Petersburg Math. J., 15:4 (2004), 563–573
Citation in format AMSBIB
\Bibitem{VolNaz03}
\by A.~L.~Vol'berg, F.~L.~Nazarov
\paper Heating of the Beurling operator and the estimates of its norm
\jour Algebra i Analiz
\yr 2003
\vol 15
\issue 4
\pages 142--158
\mathnet{http://mi.mathnet.ru/aa812}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2068982}
\zmath{https://zbmath.org/?q=an:1061.47042}
\transl
\jour St. Petersburg Math. J.
\yr 2004
\vol 15
\issue 4
\pages 563--573
\crossref{https://doi.org/10.1090/S1061-0022-04-00822-2}
Linking options:
  • https://www.mathnet.ru/eng/aa812
  • https://www.mathnet.ru/eng/aa/v15/i4/p142
  • This publication is cited in the following 66 articles:
    1. Gaven Martin, Cong Yao, “The LpLp Teichmüller Theory: Existence and Regularity of Critical Points”, Arch Rational Mech Anal, 248:2 (2024)  crossref
    2. Adam Osȩkowski, “Mixed LpLp estimates for transforms of noncommutative martingales”, Bulletin of London Math Soc, 2024  crossref
    3. Baudoin F., Chen L., “A Note on Second Order Riesz Transforms in 3-Dimensional Lie Groups”, Arch. Math., 118:3 (2022), 291–304  crossref  mathscinet  isi
    4. Banuelos R., Baudoin F., Chen L., Sire Ya., “Multiplier Theorems Via Martingale Transforms”, J. Funct. Anal., 281:9 (2021), 109188  crossref  mathscinet  isi
    5. Duse E., “Second Order Elliptic Equations and Hodge-Dirac Operators”, J. Funct. Anal., 281:12 (2021), 109267  crossref  mathscinet  isi
    6. Rodrigo Bañuelos, Tomasz Gałązka, Adam Osȩkowski, “A dual approach to Burkholder's Lp estimates”, Bulletin of London Math Soc, 53:4 (2021), 1107  crossref
    7. Carbonaro A. Dragicevic O., “Convexity of Power Functions and Bilinear Embedding For Divergence-Form Operators With Complex Coefficients”, J. Eur. Math. Soc., 22:10 (2020), 3175–3221  crossref  mathscinet  isi  scopus
    8. Betancor J.J. Dalmasso E. Farina J.C. Scotto R., “Bellman Functions and Dimension Free l-P-Estimates For the Riesz Transforms in Bessel Settings”, Nonlinear Anal.-Theory Methods Appl., 197 (2020), 111850  crossref  mathscinet  isi  scopus
    9. Carbonaro A. Dragicevic O., “Bilinear Embedding For Divergence-Form Operators With Complex Coefficients on Irregular Domains”, Calc. Var. Partial Differ. Equ., 59:3 (2020), 104  crossref  mathscinet  isi  scopus
    10. Carbonaro A. Dragicevic O., “Bounded Holomorphic Functional Calculus For Nonsymmetric Ornstein-Uhlenbeck Operators”, Ann. Scuola Norm. Super. Pisa-Cl. Sci., 19:4 (2019), 1497–1533  mathscinet  isi
    11. Banuelos R., Osekowski A., “Stability in Burkholder'S Differentially Subordinate Martingales Inequalities and Applications to Fourier Multipliers”, J. Math. Pures Appl., 119 (2018), 1–44  crossref  mathscinet  zmath  isi  scopus
    12. Kovac V. Skreb K.A., “Bellman Functions and l-P Estimates For Paraproducts”, Prob. Math. Stat.., 38:2 (2018), 459–479  crossref  mathscinet  zmath  isi  scopus
    13. Carbonaro A., Dragicevic O., “Functional calculus for generators of symmetric contraction semigroups”, Duke Math. J., 166:5 (2017), 937–974  crossref  mathscinet  zmath  isi  scopus
    14. Strzelecki M., “The L^p-norms of the Beurling–Ahlfors transform on radial functions”, Ann. Acad. Sci. Fenn. Ser. A1-Math., 42:1 (2017), 73–93  crossref  mathscinet  zmath  isi  scopus
    15. Perlmutter M., “a Method of Rotations For Levy Multipliers”, Math. Z., 287:3-4 (2017), 797–816  crossref  mathscinet  zmath  isi  scopus
    16. Nolder C.A., Wang G., “Fourier Multipliers and Dirac Operators”, Adv. Appl. Clifford Algebr., 27:2 (2017), 1647–1657  crossref  mathscinet  zmath  isi  scopus
    17. Osekowski A., “Sharp Logarithmic Inequalities for Hardy Operators”, Z. Anal. ihre. Anwend., 35:1 (2016), 1–20  crossref  mathscinet  zmath  isi  scopus
    18. Arcozzi N., Domelevo K., Petermichl S., “Second Order Riesz Transforms on Multiply–Connected Lie Groups and Processes with Jumps”, Potential Anal., 45:4 (2016), 777–794  crossref  mathscinet  zmath  isi  scopus
    19. Kim D., “Martingale Transforms and the Hardy-Littlewood-Sobolev Inequality for Semigroups”, Potential Anal., 45:4 (2016), 795–807  crossref  mathscinet  zmath  isi  scopus
    20. Perlmutter M., “On a Class of Caldern-Zygmund Operators Arising From Projections of Martingale Transforms”, Potential Anal., 42:2 (2015), 383–401  crossref  mathscinet  zmath  isi  scopus
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