Loading [MathJax]/jax/output/CommonHTML/jax.js
Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Matematicheskie Zametki, 2001, Volume 70, Issue 5, Pages 742–750
DOI: https://doi.org/10.4213/mzm785
(Mi mzm785)
 

This article is cited in 29 scientific papers (total in 29 papers)

Exact Inclusions of Gehring Classes in Muckenhoupt Classes

N. A. Malaksiano

I. I. Mechnikov Odessa National University
References:
Abstract: An exact bound for exponents of Muckenhoupt classes of functions containing a given Gehring class is obtained in the one-dimensional case.
Received: 18.05.2001
English version:
Mathematical Notes, 2001, Volume 70, Issue 5, Pages 673–681
DOI: https://doi.org/10.1023/A:1012983028054
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: N. A. Malaksiano, “Exact Inclusions of Gehring Classes in Muckenhoupt Classes”, Mat. Zametki, 70:5 (2001), 742–750; Math. Notes, 70:5 (2001), 673–681
Citation in format AMSBIB
\Bibitem{Mal01}
\by N.~A.~Malaksiano
\paper Exact Inclusions of Gehring Classes in Muckenhoupt Classes
\jour Mat. Zametki
\yr 2001
\vol 70
\issue 5
\pages 742--750
\mathnet{http://mi.mathnet.ru/mzm785}
\crossref{https://doi.org/10.4213/mzm785}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1882347}
\zmath{https://zbmath.org/?q=an:1024.30018}
\transl
\jour Math. Notes
\yr 2001
\vol 70
\issue 5
\pages 673--681
\crossref{https://doi.org/10.1023/A:1012983028054}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000173100200009}
Linking options:
  • https://www.mathnet.ru/eng/mzm785
  • https://doi.org/10.4213/mzm785
  • https://www.mathnet.ru/eng/mzm/v70/i5/p742
  • This publication is cited in the following 29 articles:
    1. S. H. Saker, R. R. Mahmoud, M. H. Hassan, “Quantitative Dependence of Some Discrete Limiting Classes on the Muckenhoupt 𝒜1(u) Class”, Ukr Math J, 75:3 (2023), 456  crossref
    2. S. H. Saker, R. R. Mahmoud, M. H. Hassan, “Quantitative dependence of some discrete limiting classes on the Muckenhoupt
      \calA 1
      ( u )
      class”, Ukr. Mat. Zhurn., 75:3 (2023), 397  crossref
    3. S. H. Saker, M. Zakarya, Ghada AlNemer, H. M. Rezk, “Structure of a generalized class of weights satisfy weighted reverse Hölder's inequality”, J Inequal Appl, 2023:1 (2023)  crossref
    4. Popoli A., “Higher Integrability and Reverse Holder Inequalities in the Limit Cases”, Georgian Math. J., 29:1 (2022), 109–121  crossref  mathscinet  isi  scopus
    5. Saker S.H. Rabie S.S. Alzabut J. O'Regan D. Agarwal R.P., “Some Basic Properties and Fundamental Relations For Discrete Muckenhoupt and Gehring Classes”, Adv. Differ. Equ., 2021:1 (2021), 8  crossref  mathscinet  isi  scopus
    6. Saker S.H. Krnic M., “The Weighted Discrete Gehring Classes, Muckenhoupt Classes and Their Basic Properties”, Proc. Amer. Math. Soc., 149:1 (2021), 231–243  crossref  mathscinet  isi  scopus
    7. Saker S.H. Alzabut J. O'Regan D. Agarwal R.P., “Self-Improving Properties of Weighted Gehring Classes With Applications to Partial Differential Equations”, Adv. Differ. Equ., 2021:1 (2021), 397  crossref  mathscinet  isi  scopus
    8. Saker S.H. Rabie S.S. Agarwal R.P., “On Discrete Weighted Hardy Type Inequalities and Properties of Weighted Discrete Muckenhoupt Classes”, J. Inequal. Appl., 2021:1 (2021), 168  crossref  mathscinet  isi  scopus
    9. Saker S.H. Rabie S.S. Agarwal R.P., “Properties of a Generalized Class of Weights Satisfying Reverse Holder'S Inequality”, J. Funct. space, 2021 (2021), 5515042  crossref  mathscinet  isi  scopus
    10. Saker S.H. Agarwal R.P., “Discrete Hardy'S Type Inequalities and Structure of Discrete Class of Weights Satisfy Reverse Holder'S Inequality”, Math. Inequal. Appl., 24:2 (2021), 521–541  crossref  mathscinet  isi  scopus
    11. Saker S.H. Rabie S.S. AlNemer G. Zakarya M., “On Structure of Discrete Muchenhoupt and Discrete Gehring Classes”, J. Inequal. Appl., 2020:1 (2020), 233  crossref  mathscinet  isi  scopus
    12. Popoli A., “Limits of the a(P) Constants”, J. Math. Anal. Appl., 478:2 (2019), 1218–1229  crossref  mathscinet  isi  scopus
    13. Hagelstein P., Parissis I., “Weighted Solyanik Estimates For the Strong Maximal Function”, Publ. Mat., 62:1 (2018), 133–159  crossref  mathscinet  zmath  isi  scopus  scopus
    14. Popoli A., “Sharp Integrability Exponents and Constants For Muckenhoupt and Gehring Weights as Solution to a Unique Equation”, Ann. Acad. Sci. Fenn. Ser. A1-Math., 43 (2018), 785–805  crossref  mathscinet  zmath  isi  scopus
    15. Luque T., Perez C., Rela E., “Reverse H?lder Property for Strong Weights and General Measures”, J. Geom. Anal., 27:1 (2017), 162–182  crossref  mathscinet  zmath  isi  scopus
    16. Formica M.R. Pietroluongo M., “Bi-Sobolev Homeomorphisms and B-P(Q) Classes”, Ric. Mat., 66:2 (2017), 313–332  crossref  mathscinet  zmath  isi  scopus  scopus
    17. Zhao Sh., “Notes on admissible measures in one dimension”, Ann. Acad. Sci. Fenn. Ser. A1-Math., 41:2 (2016), 693–697  crossref  mathscinet  zmath  isi  scopus  scopus
    18. D'Onofrio L. Popoli A. Schiattarella R., “Duality for A weights on the real line”, Rend. Lincei-Mat. Appl., 27:3 (2016), 287–308  crossref  mathscinet  zmath  isi  scopus
    19. Arturo Popoli, Carlo Sbordone, Gabriella Zecca, “Sharp interactions among A A ∞ -weights on the real line”, Ricerche mat., 64:2 (2015), 289  crossref
    20. Terenteva Yu.V., “Issledovanie svoistv integriruemosti proizvodnykh resheniya sopryazhënnogo (nelineinogo) uravneniya beltrami v sluchae vyrozhdeniya na granichnoi duge”, Vestnik rossiiskogo universiteta druzhby narodov. seriya: matematika, informatika, fizika, 2013, no. 1, 5–18 A study of the integrability of the derivatives of the solutions of the conjugate (nonlinear) beltrami equation  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:376
    Full-text PDF :217
    References:72
    First page:1
     
      Contact us:
    math-net2025_04@mi-ras.ru
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025