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  • 1 International Islamic University Malaysia Department of Computational & Theoretical Sciences Faculty of Sciences P.O. Box, 141 25710 Kuantan, Pahang Malaysia
  • | 2 Tashkent Institute of Textile and Light Industry Department of Mathematics Tashkent 700100 Uzbekistan
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Abstract  

In the present paper we consider a von Neumann algebra M with a faithful normal semi-finite trace τ, and {αt}, a strongly continuous extension to Lp(M, τ) of a semigroup of absolute contractions on L1(M, τ). By means of a non-commutative Banach Principle we prove for a Besicovitch function b and xLp(M, τ), that the averages 1/T0Tb(t)αt(x)dt converge bilateral almost uniformly in Lp (M, τ) as T → 0.

Manuscript Submission: HERE

  • Impact Factor (2019): 0.693
  • Scimago Journal Rank (2019): 0.412
  • SJR Hirsch-Index (2019): 20
  • SJR Quartile Score (2019): Q3 Mathematics (miscellaneous)
  • Impact Factor (2018): 0.664
  • Scimago Journal Rank (2018): 0.412
  • SJR Hirsch-Index (2018): 19
  • SJR Quartile Score (2018): Q2 Mathematics (miscellaneous)

Periodica Mathematica Hungarica
Language English
Size B5
Year of
Foundation
1971
Volumes
per Year
2
Issues
per Year
4
Founder Bolyai János Matematikai Társulat - János Bolyai Mathematical Society
Founder's
Address
H-1055 Budapest, Hungary Falk Miksa u. 12.I/4.
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 0031-5303 (Print)
ISSN 1588-2829 (Online)

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