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Riemann summability of multi-dimensional trigonometric-fourier series

โœ Scribed by Ferenc Weisz

Publisher
Springer
Year
1998
Tongue
English
Weight
419 KB
Volume
14
Category
Article
ISSN
1573-8175

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๐Ÿ“œ SIMILAR VOLUMES

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

Cesร ro Summability of Two-Parameter Trig
Cesร ro Summability of Two-Parameter Trigonometric-Fourier Series
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