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On the Restricted Cesàro Summability of Double Fourier Series

✍ Scribed by A. J. White

Book ID
125676406
Publisher
American Mathematical Society
Year
1961
Tongue
English
Weight
376 KB
Volume
99
Category
Article
ISSN
0002-9947

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✍ Ferenc Weisz 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 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 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