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, 2018, Volume 104, Issue 4, Pages 527–538
DOI: https://doi.org/10.4213/mzm12148 (Mi mzm12148) 		 
Wavelets and Bidemocratic Pairs in Weighted Norm Spaces

K. S. Kazariana, A. San Antolinb

a Universidad Autonoma de Madrid
b University of Alicante
Full-text PDF (511 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm12148
Abstract: A complete characterization of weight functions for which the higher-rank Haar wavelets are greedy bases in weighted $L^{p}$ spaces is given. The proof uses the new concept of a bidemocratic pair for a Banach space and also pairs $(\Phi,\Phi)$, where $\Phi$ is an orthonormal system of bounded functions in the spaces $L^{p}$, $p\ne 2$.
Keywords: orthonormal system, democratic and bidemocratic systems, higher rank Haar system, weighted Lebesgue spaces.
Received: 17.10.2017
English version:
Mathematical Notes, 2018, Volume 104, Issue 4, Pages 508–517
DOI: https://doi.org/10.1134/S0001434618090183
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: K. S. Kazarian, A. San Antolin, “Wavelets and Bidemocratic Pairs in Weighted Norm Spaces”, Mat. Zametki, 104:4 (2018), 527–538; Math. Notes, 104:4 (2018), 508–517
Citation in format AMSBIB
\Bibitem{KazSan18}
\by K.~S.~Kazarian, A.~San Antolin
\paper Wavelets and Bidemocratic Pairs in Weighted Norm Spaces
\jour Mat. Zametki
\yr 2018
\vol 104
\issue 4
\pages 527--538
\mathnet{http://mi.mathnet.ru/mzm12148}
\crossref{https://doi.org/10.4213/mzm12148}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3859388}
\elib{https://elibrary.ru/item.asp?id=35601244}
\transl
\jour Math. Notes
\yr 2018
\vol 104
\issue 4
\pages 508--517
\crossref{https://doi.org/10.1134/S0001434618090183}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000451315200018}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85056708298}
Linking options:
  • https://www.mathnet.ru/eng/mzm12148
  • https://doi.org/10.4213/mzm12148
  • https://www.mathnet.ru/eng/mzm/v104/i4/p527
    • 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:269
    Full-text PDF :18
    References:28
    First page:12
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024