Research Article

The Bilinear Hardy-Littlewood Maximal Function and Littlewood-Paley Square Function on Weighted Variable Exponent Wiener Amalgam Space

Volume: 16 Number: 1 May 31, 2019
EN

The Bilinear Hardy-Littlewood Maximal Function and Littlewood-Paley Square Function on Weighted Variable Exponent Wiener Amalgam Space

Abstract

The space “weighted variable exponent Wiener amalgam”  whose local component is “variable exponent Lorentz space” is considered. Then boundedness of the “bilinear Hardy-Littlewood maximal function” and “Littlewood-Paley square function” is discussed on this space.


Keywords

References

  1. I. Assani, Z. Buczolih, The (L¹,L¹) bilinear Hardy-Littlewood function and Furstenberg averages, Rev. Mat. Iberoamericana, 26(3), (2010), 861-890.
  2. I. Aydın, A. T. Gürkanlı, Weighted variable exponent amalgam spaces , Glasnik Matematicki, 47(67), (2012), 165-174.
  3. F. Bernicot, estimates for non smoth bilinear Littlewood-Paley square functions on R, arXiv:0811.2854, to appear in Math. Ann., (2018).
  4. T. Dobler, Wiener Amalgam Spaces on Locally Compact Groups, Master's thesis, University of Vienna, (1989).
  5. L. Ephremidze, V. Kokilashvili, S. Samko, Fractional, maximal and singular operators in variable exponent Lorentz spaces, Fract. Calc. Appl. Anal., 11(4), (2008), 1-14.
  6. H. G. Feichtinger, Banach convolution algebras of Wiener's type, Proc. Conf. Functions, Series, Operators, Budapest, 1980, Colloquia Math. Soc. J. Bolyai, North Holland Publ. Co., Amsterdam- Oxford- New York, (1983), 509-524.
  7. H. G. Feichtinger, K. H. Gröchenig, Banach spaces related to integrable group representations and their atomic decompositions, I, J. Funct. Anal. 86, (1989), 307-340.
  8. H. G. Feichtinger, A. T. Gürkanlı, On a family of weighted convolution algebras, Int. J. Math. Math. Sci. 13, (1990), 517-526.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Publication Date

May 31, 2019

Submission Date

February 25, 2019

Acceptance Date

May 16, 2019

Published in Issue

Year 2019 Volume: 16 Number: 1

APA
Kulak, Ö. (2019). The Bilinear Hardy-Littlewood Maximal Function and Littlewood-Paley Square Function on Weighted Variable Exponent Wiener Amalgam Space. Cankaya University Journal of Science and Engineering, 16(1), 63-80. https://izlik.org/JA57XU77FE
AMA
1.Kulak Ö. The Bilinear Hardy-Littlewood Maximal Function and Littlewood-Paley Square Function on Weighted Variable Exponent Wiener Amalgam Space. CUJSE. 2019;16(1):63-80. https://izlik.org/JA57XU77FE
Chicago
Kulak, Öznur. 2019. “The Bilinear Hardy-Littlewood Maximal Function and Littlewood-Paley Square Function on Weighted Variable Exponent Wiener Amalgam Space”. Cankaya University Journal of Science and Engineering 16 (1): 63-80. https://izlik.org/JA57XU77FE.
EndNote
Kulak Ö (May 1, 2019) The Bilinear Hardy-Littlewood Maximal Function and Littlewood-Paley Square Function on Weighted Variable Exponent Wiener Amalgam Space. Cankaya University Journal of Science and Engineering 16 1 63–80.
IEEE
[1]Ö. Kulak, “The Bilinear Hardy-Littlewood Maximal Function and Littlewood-Paley Square Function on Weighted Variable Exponent Wiener Amalgam Space”, CUJSE, vol. 16, no. 1, pp. 63–80, May 2019, [Online]. Available: https://izlik.org/JA57XU77FE
ISNAD
Kulak, Öznur. “The Bilinear Hardy-Littlewood Maximal Function and Littlewood-Paley Square Function on Weighted Variable Exponent Wiener Amalgam Space”. Cankaya University Journal of Science and Engineering 16/1 (May 1, 2019): 63-80. https://izlik.org/JA57XU77FE.
JAMA
1.Kulak Ö. The Bilinear Hardy-Littlewood Maximal Function and Littlewood-Paley Square Function on Weighted Variable Exponent Wiener Amalgam Space. CUJSE. 2019;16:63–80.
MLA
Kulak, Öznur. “The Bilinear Hardy-Littlewood Maximal Function and Littlewood-Paley Square Function on Weighted Variable Exponent Wiener Amalgam Space”. Cankaya University Journal of Science and Engineering, vol. 16, no. 1, May 2019, pp. 63-80, https://izlik.org/JA57XU77FE.
Vancouver
1.Öznur Kulak. The Bilinear Hardy-Littlewood Maximal Function and Littlewood-Paley Square Function on Weighted Variable Exponent Wiener Amalgam Space. CUJSE [Internet]. 2019 May 1;16(1):63-80. Available from: https://izlik.org/JA57XU77FE