Strong summability of Fourier series and Morrey spaces
作者： Merey Sautbekova , Winfried Sickel
DOI: 10.1007/S10476-014-0104-Z
关键词:
摘要: This work is dedicated to the investigation of strong summability Fourier series in context periodic Morrey spaces. First, we study Hilbert transform vector-valued context. Boundedness implies uniform estimates operator norms partial sums series. Afterwards, Lizorkin-Triebel-Morrey and Nikol’skij-Besov-Morrey Here concentrate on Lizorkin representations embeddings into scale Holder-Zygmund In final section, consequences for
springer.com
sci-hub.se 参考文章(38)
Azzeddine El Baraka, An embedding theorem for Campanato spaces Electronic Journal of Differential Equations, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas.. ,(2002)
Decomposition of Besov Spaces Princeton University Press. pp. 385- 407 ,(2009) , 10.1515/9781400827268.385
V. Totik, On the modulus of continuity in connection with a problem of J. Szabados concerning strong approximation Analysis Mathematica. ,vol. 4, pp. 145- 152 ,(1978) , 10.1007/BF02116979
László Leindler, A note on strong approximation of Fourier series Analysis Mathematica. ,vol. 29, pp. 195- 199 ,(2003) , 10.1023/A:1025463120756
L. Leindler, Strong and best approximation of Fourier series and the Lipschitz classes Analysis Mathematica. ,vol. 4, pp. 101- 116 ,(1978) , 10.1007/BF02116976
Hans-Jürgen Schmeisser, Hans Triebel, Topics in Fourier Analysis and Function Spaces ,(1987)
Hans-Jürgen Schmeisser, Winfried Sickel, Some remarks on strong approximation by Cesàro means Banach Center Publications. ,vol. 22, pp. 363- 375 ,(1989) , 10.4064/-22-1-363-375
Winfried Sickel, Wen Yuan, Dachun Yang, Morrey and Campanato Meet Besov, Lizorkin and Triebel ,(2010)
Paul Leo Butzer, Rolf J. Nessel, Fourier analysis and approximation ,(1971)
Elias M. Stein, Guido L. Weiss, Introduction to Fourier Analysis on Euclidean Spaces. ,(1971)