Izvestiya: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya: Mathematics, 2011, Volume 75, Issue 1, Pages 29–51
DOI: https://doi.org/10.1070/IM2011v075n01ABEH002526 (Mi im4078) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Modified Hardy and Hardy–Littlewood operators and their behaviour in various spaces

S. S. Volosivets

Saratov State University named after N. G. Chernyshevsky
English version PDF (376 kB) Citations (9)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM2011v075n01ABEH002526
Abstract: We study the behaviour of modified Hardy and Hardy–Littlewood operators in $\mathbf P$-adic Herz and Hölder–Besov spaces and in spaces close to $\mathbf P$-adic Hardy spaces and $\mathrm{BMO}$. We also establish a Titchmarsh-type equation for distributions and obtain an estimate for the multiplicative Fourier transform in $\mathbf P$-adic Hardy spaces.
Keywords: modified Hardy–Littlewood operator, modified Hardy operator, $\mathbf P$-adic Hölder–Besov spaces, $\mathbf P$-adic Hardy spaces, $\mathbf P$-adic $\mathrm{BMO}$-space.
Received: 21.01.2009
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2011, Volume 75, Issue 1, Pages 29–52
DOI: https://doi.org/10.4213/im4078
Bibliographic databases:
Document Type: Article
UDC: 517.518
MSC: 42A38, 43A25, 43A15
Language: English
Original paper language: Russian
Citation: S. S. Volosivets, “Modified Hardy and Hardy–Littlewood operators and their behaviour in various spaces”, Izv. RAN. Ser. Mat., 75:1 (2011), 29–52; Izv. Math., 75:1 (2011), 29–51
Citation in format AMSBIB
\Bibitem{Vol11}
\by S.~S.~Volosivets
\paper Modified Hardy and Hardy--Littlewood operators and their behaviour in various spaces
\jour Izv. RAN. Ser. Mat.
\yr 2011
\vol 75
\issue 1
\pages 29--52
\mathnet{http://mi.mathnet.ru/im4078}
\crossref{https://doi.org/10.4213/im4078}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2815994}
\zmath{https://zbmath.org/?q=an:1214.42008}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2011IzMat..75...29V}
\elib{https://elibrary.ru/item.asp?id=20358776}
\transl
\jour Izv. Math.
\yr 2011
\vol 75
\issue 1
\pages 29--51
\crossref{https://doi.org/10.1070/IM2011v075n01ABEH002526}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000287579900002}
\elib{https://elibrary.ru/item.asp?id=18008062}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80053502746}
Linking options:
  • https://www.mathnet.ru/eng/im4078
  • https://doi.org/10.1070/IM2011v075n01ABEH002526
  • https://www.mathnet.ru/eng/im/v75/i1/p29
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:729
    Russian version PDF:230
    English version PDF:17
    References:84
    First page:21
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024