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  • 1 Eötvös Lóránd University Department of Numerical Analysis Pázmány Péter Sétány 1/B 1117 Budapest Hungary
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Abstract  

It is shown that the maximal operator of the Fejér means of a tempered distribution is bounded from thed-dimensional Hardy spaceHp(R×···×R) toLp(Rd) (1/2<p<∞) and is of weak type (H1♯i ,L1) (i=1,…,d), where the Hardy spaceH1♯i is defined by a hybrid maximal function. As a consequence, we obtain that the Fejér means of a functionfH1♯iL(logL)d−1 converge a.e. to the function in question. Moreover, we prove that the Fejér means are uniformly bounded onHp(R×···×R) whenever 1/2<p<∞. Thus, in casefHp(R×···×R) the Fejér means converge tof inHp(R×···×R) norm. The same results are proved for the conjugate Fejér means, too.

  • Impact Factor (2019): 0.527
  • Scimago Journal Rank (2019): 0.384
  • SJR Hirsch-Index (2019): 15
  • SJR Quartile Score (2019): Q3 Analysis
  • SJR Quartile Score (2019): Q3 Mathematics (miscellaneous)
  • Impact Factor (2018): 0.702
  • Scimago Journal Rank (2018): 0.47
  • SJR Hirsch-Index (2018): 14
  • SJR Quartile Score (2018): Q2 Mathematics (miscellaneous)

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Analysis Mathematica
Language English
Size B5
Year of
Foundation
1975
Volumes
per Year
1
Issues
per Year
4
Founder Akadémiai Kiadó
Founder's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 0133-3852 (Print)
ISSN 1588-273X (Online)