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Published in:
2002 | OriginalPaper | Chapter
Multi-Dimensional Classical Hardy Spaces
Author : Ferenc Weisz
Published in: Summability of Multi-Dimensional Fourier Series and Hardy Spaces
Publisher: Springer Netherlands
Included in: Professional Book Archive
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In this chapter the classical Hardy spaces on ℝd and Td are introduced and all the results of Chapter 1 are proved for the classical spaces. As in Chapter 1, the various characterizations of the Hardy spaces are not proved. For these characterizations see the very nice and good books and papers of Duren [59], Stein [193, 194], Stein and Weiss [192], Lu [125], Uchiyama [205], Fefferman and Stein [67], Chang and Fefferman [33, 31, 71, 73] as well as Gundy and Stein [98, 100].