Research Article
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Dyadic Maximal Function Maps the Weighted Hardy Space H1(w) to the Weighted L1(w) Space

Year 2024, Volume: 13 Issue: 1, 172 - 175, 26.03.2024

Sakin Demir

https://doi.org/10.46810/tdfd.1417161

Abstract

Yerel olarak integrallenebilen bir fonksiyonu için ikili maksimal operatörünü
$Tf$
olarak tanımlayalım.$1

Keywords

Weighted Hardy Space Muchenhoupt Weight Dyadic Maximal Function

References

  • Coifman, R, Fefferman, C. Weighted norm inequalities for maximal functions and singular integrals. Studia Math. 1974; 51, 241-250.
  • Demir, S. spaces and inequalities in ergodic theory. Ph.D Thesis, University of Illinois at Urbana-Champaign, Urbana, IL, USA, 1999.
  • Garcia-Cuerva, J. Weighted spaces. Dissertations Math. 1979; 162, 1-63.
  • Garcia-Cuerva, J, Rubio de Francia, JL. Weighted norm inequalities and related topics. Mathematics Studies 116, North-Holland, Amsterdam, 1985.
  • Muckenhoupt, B. (1972). Weighted norm inequalities for the Hardy maximal function. Trans. Amer. Math. Soc. 165, 207-226.

Year 2024, Volume: 13 Issue: 1, 172 - 175, 26.03.2024

Sakin Demir

https://doi.org/10.46810/tdfd.1417161

Abstract

References

  • Coifman, R, Fefferman, C. Weighted norm inequalities for maximal functions and singular integrals. Studia Math. 1974; 51, 241-250.
  • Demir, S. spaces and inequalities in ergodic theory. Ph.D Thesis, University of Illinois at Urbana-Champaign, Urbana, IL, USA, 1999.
  • Garcia-Cuerva, J. Weighted spaces. Dissertations Math. 1979; 162, 1-63.
  • Garcia-Cuerva, J, Rubio de Francia, JL. Weighted norm inequalities and related topics. Mathematics Studies 116, North-Holland, Amsterdam, 1985.
  • Muckenhoupt, B. (1972). Weighted norm inequalities for the Hardy maximal function. Trans. Amer. Math. Soc. 165, 207-226.
There are 5 citations in total.

Details

Primary Language English
Subjects Mathematical Physics (Other)
Journal Section Research Article
Authors

Sakin Demir 0000-0002-8019-6917

Submission Date January 9, 2024
Acceptance Date March 20, 2024
Early Pub Date March 26, 2024
Publication Date March 26, 2024
Published in Issue Year 2024 Volume: 13 Issue: 1

Cite

APA Demir, S. (2024). Dyadic Maximal Function Maps the Weighted Hardy Space H1(w) to the Weighted L1(w) Space. Türk Doğa Ve Fen Dergisi, 13(1), 172-175. https://doi.org/10.46810/tdfd.1417161
AMA Demir S. Dyadic Maximal Function Maps the Weighted Hardy Space H1(w) to the Weighted L1(w) Space. TJNS. March 2024;13(1):172-175. doi:10.46810/tdfd.1417161
Chicago Demir, Sakin. “Dyadic Maximal Function Maps the Weighted Hardy Space H1(w) to the Weighted L1(w) Space”. Türk Doğa Ve Fen Dergisi 13, no. 1 (March 2024): 172-75. https://doi.org/10.46810/tdfd.1417161.
EndNote Demir S (March 1, 2024) Dyadic Maximal Function Maps the Weighted Hardy Space H1(w) to the Weighted L1(w) Space. Türk Doğa ve Fen Dergisi 13 1 172–175.
IEEE S. Demir, “Dyadic Maximal Function Maps the Weighted Hardy Space H1(w) to the Weighted L1(w) Space”, TJNS, vol. 13, no. 1, pp. 172–175, 2024, doi: 10.46810/tdfd.1417161.
ISNAD Demir, Sakin. “Dyadic Maximal Function Maps the Weighted Hardy Space H1(w) to the Weighted L1(w) Space”. Türk Doğa ve Fen Dergisi 13/1 (March2024), 172-175. https://doi.org/10.46810/tdfd.1417161.
JAMA Demir S. Dyadic Maximal Function Maps the Weighted Hardy Space H1(w) to the Weighted L1(w) Space. TJNS. 2024;13:172–175.
MLA Demir, Sakin. “Dyadic Maximal Function Maps the Weighted Hardy Space H1(w) to the Weighted L1(w) Space”. Türk Doğa Ve Fen Dergisi, vol. 13, no. 1, 2024, pp. 172-5, doi:10.46810/tdfd.1417161.
Vancouver Demir S. Dyadic Maximal Function Maps the Weighted Hardy Space H1(w) to the Weighted L1(w) Space. TJNS. 2024;13(1):172-5.

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