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On the maximal operator of Marcinkiewicz–Fejér means of the two-dimensional Walsh–Kaczmarz system
-
Károly Nagy
Veröffentlicht/Copyright:
15. Mai 2013
Abstract.
In 2009, Goginava showed that
,
where 
is the 
th Marcinkiewicz–Fejér mean of
the Walsh–Kaczmarz–Fourier series, is not bounded from the Hardy space
to the space
. The main aim of this paper is to show that
the maximal operator
is bounded from the Hardy space to the space
. Moreover, it is proved that the order of deviant behavior of the th
Walsh–Kacmarz–Marcinkiewicz–Fejér mean is exactly 
.
Received: 2012-03-26
Accepted: 2013-03-27
Published Online: 2013-05-15
Published in Print: 2013-05-01
© 2013 by Walter de Gruyter Berlin Boston
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Artikel in diesem Heft
- Masthead
- Fixed points of asymptotically regular mappings in complex-valued metric spaces
- Coverings of internal groupoids and crossed modules in the category of groups with operations
- A new study on almost increasing and quasi-monotone sequences
- On precompact sets in spaces Cc(X)
- Weighted boundedness for Toeplitz type operators related to Riesz transforms of the Schrödinger operator
- Sums of absolutely nonmeasurable functions
- Symmetry of an integral equation with Bessel potential in ℝn+
- Spanier spaces and the covering theory of non-homotopically path Hausdorff spaces
- On the maximal operator of Marcinkiewicz–Fejér means of the two-dimensional Walsh–Kaczmarz system
- Hofer type geometry on the space of Legendrian submanifolds of a contact manifold
- Initial problems for hyperbolic functional differential systems
- Approximation by complex q-Bernstein–Schurer operators in compact disks
- On some properties of conjugate trigonometric Fourier series
