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Summability of multiple trigonometric Fourier series by linear methods

โœ Scribed by L. Gogoladze

Book ID
119932714
Publisher
Allerton Press, Inc.
Year
2012
Tongue
English
Weight
466 KB
Volume
47
Category
Article
ISSN
1068-3623

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๐Ÿ“œ SIMILAR VOLUMES

Cesร ro Summability of Two-Parameter Trig
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โœ Ferenc Weisz ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 325 KB

The two-dimensional classical Hardy spaces H p (T\\_T) on the bidisc are introduced and it is shown that the maximal operator of the Cesaร ro means of a distribution is bounded from H p (T\\_T) to L p (T 2 ) ( 3ร‚4 (T\\_T), L 1 (T 2 )) where the Hardy space H 1 > (T\\_T) is defined by the hybrid maxi

Cesร ro Summability of Multi-dimensional
Cesร ro Summability of Multi-dimensional Trigonometric-Fourier Series
โœ Weisz, Ferenc (author) ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Academic Press Inc. ๐ŸŒ English โš– 163 KB

The d-dimensional classical Hardy spaces H T are introduced and it is shown p that the maximal operator of the Cesaro means of a distribution is bounded from ลฝ that the supremum in the maximal operator is taken over a positive cone. As a consequence we obtain the summability result due to Marcinkie