35
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Maximal operators of Walsh–Kaczmarz logarithmic means

&
Pages 1173-1182 | Received 21 Jan 2011, Accepted 04 Nov 2011, Published online: 04 Jan 2012

References

  • Skvortsov , VA . 1981 . On Fourier series with respect to the Walsh–Kaczmarz system . Anal. Math. , 7 : 141 – 150 .
  • Gát , G and Toledo , R . 2009 . On the convergence in L1-norm of Cesàro means with respect to representative product systems . Acta Math. Hung. , 123 ( 1–2 ) : 103 – 120 .
  • Schipp , F , Wade , WR , Simon , P and Pál , J . 1990 . Walsh Series. An Introduction to Dyadic Harmonic Analysis , New York : Adam Hilger .
  • Weisz , F . 2002 . Summability of Multi-dimensional Fourier Series and Hardy Space , Dordrecht : Kluwer Academic .
  • Šneider , AA . 1948 . On series with respect to the Walsh functions with monotone coefficients . Izv. Akad. Nauk SSSR Ser. Math. , 12 : 179 – 192 .
  • Schipp , F . 1976 . Pointwise convergence of expansions with respect to certain product systems . Anal. Math. , 2 : 63 – 75 .
  • Young , WS . 1974 . On the a.e. convergence of Walsh–Kaczmarz–Fourier series . Proc. Am. Math. Soc. , 44 : 353 – 358 .
  • Gát , G . 1998 . On (C, 1) summability of integrable functions with respect to the Walsh–Kaczmarz system . Stud. Math. , 130 : 135 – 148 .
  • Simon , P . 2000 . On the Cesàro summability with respect to the Walsh–Kaczmarz system . J. Approx. Theory , 106 : 249 – 261 .
  • Weisz , F . 2004 . θ-summability of Fourier series . Acta Math. Hung. , 103 ( 1–2 ) : 139 – 176 .
  • Simon , P and Weisz , F . 2008 . Weak inequalities for Cesáro and Riesz summability of Walsh–Fourier series . J. Approx. Theory , 151 : 1 – 19 .
  • Nagy , K . Uniform and L-convergence of the Nörlund logarithmic means of Walsh–Kaczmarz–Fourier series, Ann. Univ. Sci. Budapestiensis, Sect. Comp. 33 (2010), pp. 297–319
  • Goginava , U and Nagy , K . 2009/2010 . Weak type inequality for logarithmic means of Walsh–Kaczmarz–Fourier series . Real Anal. Exch. , 35 ( 2 ) : 445 – 462 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.