A generalization of lemmas of Marcinkiewicz and Fine with applications to singular integrals

E. H. Ostrow; E. M. Stein

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1957)

  • Volume: 11, Issue: 3-4, page 117-135
  • ISSN: 0391-173X

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Ostrow, E. H., and Stein, E. M.. "A generalization of lemmas of Marcinkiewicz and Fine with applications to singular integrals." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 11.3-4 (1957): 117-135. <http://eudml.org/doc/83196>.

@article{Ostrow1957,
author = {Ostrow, E. H., Stein, E. M.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {approximation and series expansion},
language = {eng},
number = {3-4},
pages = {117-135},
publisher = {Scuola normale superiore},
title = {A generalization of lemmas of Marcinkiewicz and Fine with applications to singular integrals},
url = {http://eudml.org/doc/83196},
volume = {11},
year = {1957},
}

TY - JOUR
AU - Ostrow, E. H.
AU - Stein, E. M.
TI - A generalization of lemmas of Marcinkiewicz and Fine with applications to singular integrals
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1957
PB - Scuola normale superiore
VL - 11
IS - 3-4
SP - 117
EP - 135
LA - eng
KW - approximation and series expansion
UR - http://eudml.org/doc/83196
ER -

References

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  1. 1 N.J. Fine, « Cesaro Summability of Walsh-Fourier ,Series », Proc. Nat. Acad. Sci., 41 (1955) pp. 588-591. Zbl0065.05303MR70757
  2. 2 J. Marcinkiewicz, « On the convergence of Fourier ,Series », J. Lond. Math. Soc., 10 (1935) pp. 264-268. Zbl0012.40104
  3. 3 J. Marcinkiewicz, « Sur les series de Fourier », Fund. Math., 27 (1936), pp. 38-69. Zbl0014.21501JFM62.0288.01
  4. 4 J. Marcinkiewicz, « Sur quelques integrales du type de Ðini», Annales de la Soc. Polonaise de Math" 17 (1938), pp. 42-50. Zbl0020.01101JFM64.0225.03
  5. 5 J. Marcinkiewicz, «Sur la sommabilité forte de series de Fourier », J. Lond. Math. Soc., 14 (1939) pp. 162-168. Zbl0021.40201MR66JFM65.0264.02
  6. 6 A. Plessner, « Zur Theorie, der Konjugierten Trigonometrischen Reihen », Mitt. des Math. Seminar d. Univ. Giessen, 10 (1923) pp. 1-36. JFM49.0204.02
  7. 7 A. Plessner, « Über das Verhalten Analytischer Funkionen auf dem Rande des Definitionsbereiches », J. für Reine und ang. Math., 158 (1927) pp. 219-227. Zbl53.0284.01JFM53.0284.01
  8. 8 M. Riesz, « Sur les fonctions conjuguees », Math. Z., 27 (1927) pp. 218-244. Zbl53.0259.02MR1544909JFM53.0259.02
  9. 9 A. Zygmund, « Trigonometrical Series », Monografje Matematyczne V, Warsaw-Lwow (1935). JFM61.0263.03

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