On the Cesaro Summability with Respect to the Walsh-Kaczmarz System
By Peter L. Simon. 2000
49 citations recorded by the source corpus.
The Walsh system will be considered in the Kaczmarz rearrangement. We show that the maximal operator @s* of the (C,1)-means of the Walsh-Kaczmarz-Fourier series is bounded from the dyadic Hardy space H^p into L^p for every 1/2
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/192c50a3956fdcd157886cf47deee014f1d40bf6
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In Applied Mathematics
Citations in the corpus
- Cesaro Summability with Respect to Two-Parameter Walsh Systems (2000, background): “that kfk 1 4 Ckj fjk H 1 O f2 H 1 U. In Simon [ 7 ] we extended G at’s result to H p O1=2 7 ], in both cases for 1=2 7 ]), Theorem 2 gives some maximal inequalities for the two-parameter OC; 1Usummation.”