G. A. Karagulian, “Exponential Estimates of the Calderón–Zygmund Operator and Related Questions about Fourier Series”, Mat. Zametki, 71:3 (2002), 398–411; Math. Notes, 71:3 (2002), 362

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Matematicheskie Zametki, 2002, Volume 71, Issue 3, Pages 398–411
DOI: https://doi.org/10.4213/mzm355 (Mi mzm355)

This article is cited in 11 scientific papers (total in 11 papers)

Exponential Estimates of the Calderón–Zygmund Operator and Related Questions about Fourier Series

G. A. Karagulian

Institute of Mathematics, National Academy of Sciences of Armenia

Full-text PDF (222 kB) Citations (11)

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DOI: https://doi.org/10.4213/mzm355

Abstract: In this paper we study the properties of the maximal operator generated by the Calderón–Zygmund operator. In particular, we refine Hunt's inequality.

Received: 15.10.2001

English version:
Mathematical Notes, 2002, Volume 71, Issue 3, Pages 362–373
DOI: https://doi.org/10.1023/A:1014850924850

Bibliographic databases:

UDC: 517

Language: Russian

Citation: G. A. Karagulian, “Exponential Estimates of the Calderón–Zygmund Operator and Related Questions about Fourier Series”, Mat. Zametki, 71:3 (2002), 398–411; Math. Notes, 71:3 (2002), 362–373

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/mzm355

https://doi.org/10.4213/mzm355

https://www.mathnet.ru/eng/mzm/v71/i3/p398

This publication is cited in the following 11 articles:

Mingming Cao, Gonzalo Ibañez-Firnkorn, Israel P. Rivera-Ríos, Qingying Xue, Kôzô Yabuta, “A class of multilinear bounded oscillation operators on measure spaces and applications”, Math. Ann., 388:4 (2024), 3627
María Eugenia Cejas, Carolina Mosquera, Carlos Pérez, Ezequiel Rela, “Self-improving Poincaré-Sobolev type functionals in product spaces”, JAMA, 149:1 (2023), 1
Yongming Wen, Huoxiong Wu, Qingying Xue, “Sparse Domination and Weighted Inequalities for the $\rho$ -Variation of Singular Integrals and Commutators”, J Geom Anal, 32:12 (2022)
Karagulyan G.A., “On Good-Lambda Inequalities For Couples of Measurable Functions”, Indiana Univ. Math. J., 70:6 (2021), 2405–2425
Canto J., Perez C., “Extensions of the John-Nirenberg Theorem and Applications”, Proc. Amer. Math. Soc., 149:4 (2021), 1507–1525
Cao M., Xue Q., Yabuta K., “Weak and Strong Type Estimates For the Multilinear Pseudo-Differential Operators”, J. Funct. Anal., 278:10 (2020), UNSP 108454
G. A. Karagulyan, H. Mkoyan, “An exponential estimate for the cubic partial sums of multiple Fourier series”, Izv. Math., 83:2 (2019), 273–286
Karagulyan G.A., “An Abstract Theory of Singular Operators”, Trans. Am. Math. Soc., 372:7 (2019), 4761–4803
Carlos Pérez, Israel P. Rivera-Rı́os, Association for Women in Mathematics Series, 5, Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2), 2017, 287
Carro M.J., Soria J., “Restricted Weak-Type Rubio de Francia Extrapolation For P > P(0) With Applications To Exponential Integrability Estimates”, Adv. Math., 290 (2016), 888–918
Ortiz-Caraballo C., Perez C., Rela E., “Exponential Decay Estimates for Singular Integral Operators”, Math. Ann., 357:4 (2013), 1217–1243

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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