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The question of A*-summability of double trigonometric Fourier series

✍ Scribed by L. D. Gogoladze

Publisher
SP MAIK Nauka/Interperiodica
Year
1972
Tongue
English
Weight
180 KB
Volume
11
Category
Article
ISSN
0001-4346

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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 CesaÁ ro means of a distribution is bounded from H p (T\\_T) to L p (T 2 ) ( 3Â4 (T\\_T), L 1 (T 2 )) where the Hardy space H 1 > (T\\_T) is defined by the hybrid maxi

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✍ Weisz, Ferenc (author) 📂 Article 📅 1996 🏛 Academic Press Inc. 🌐 English ⚖ 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 Ž that the supremum in the maximal operator is taken over a positive cone. As a consequence we obtain the summability result due to Marcinkie