Research Article

On Some Properties of the Space Lpw(Rn) and Lqt(Rn)

Volume: 13 Number: 2 November 1, 2016
EN

On Some Properties of the Space Lpw(Rn) and Lqt(Rn)

Abstract

In this paper, we define A p,q(.) w,ϑ (R n ) to be space of the intersection of the spaces L p w (R n ) and L q(.) ϑ (R n ). Also, we investigate some inclusions and embedding properties of the space. Moreover, we discuss other basic properties of A p,q(.) w,ϑ (R n ).

Keywords

References

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  3. [3] I. Aydın, Weighted Variable Sobolev Spaces and Capacity, Journal of Function Spaces and Applications, 2012,Article ID 132690, doi:10.1155/2012/132690, (2012).
  4. [4] I. Aydın, A. T. G¨urkanlı, On Some Properties of the Spaces Ap(x)w (Rn), Proceedings of Jangjeon Mathematical Society, 12(2), (2009), 141-155.
  5. [5] D. Cruz-Uribe, A. Fiorenza, C. J. Neugebauer, The Maximal Function on Variable Lp spaces, Annales Academiae Scientiarum Fennicae-Mathematica, 28, (2003), 223-238.
  6. [6] L. Diening, Maximal Function on Generalized Lebesgue Spaces Lp(.), Mathematical Inequalities and Applications, 7(2), (2004), 245-253.
  7. [7] L. Diening, P. Hast¨o, A. Nekvinda, Open Problems in Variable Exponent Lebesgue and Sobolev Spaces, In Proceedingsof the Function Spaces, Differential Operators and Nonlinear Analysis (FSDONA’ 04), Milovy, Czech, (2004), 38-58.
  8. [8] L. Diening, P. Harjulehto, P. Hast¨o, M. Ruzicka, Lebesgue and Sobolev Spaces with Variable Exponents, SpringerVerlag, Berlin, (2011).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Cihan Unal This is me

Publication Date

November 1, 2016

Submission Date

October 15, 2017

Acceptance Date

-

Published in Issue

Year 2016 Volume: 13 Number: 2

APA
Unal, C., & Aydin, İ. (2016). On Some Properties of the Space Lpw(Rn) and Lqt(Rn). Cankaya University Journal of Science and Engineering, 13(2). https://izlik.org/JA33BT42FA
AMA
1.Unal C, Aydin İ. On Some Properties of the Space Lpw(Rn) and Lqt(Rn). CUJSE. 2016;13(2). https://izlik.org/JA33BT42FA
Chicago
Unal, Cihan, and İsmail Aydin. 2016. “On Some Properties of the Space Lpw(Rn) and Lqt(Rn)”. Cankaya University Journal of Science and Engineering 13 (2). https://izlik.org/JA33BT42FA.
EndNote
Unal C, Aydin İ (November 1, 2016) On Some Properties of the Space Lpw(Rn) and Lqt(Rn). Cankaya University Journal of Science and Engineering 13 2
IEEE
[1]C. Unal and İ. Aydin, “On Some Properties of the Space Lpw(Rn) and Lqt(Rn)”, CUJSE, vol. 13, no. 2, Nov. 2016, [Online]. Available: https://izlik.org/JA33BT42FA
ISNAD
Unal, Cihan - Aydin, İsmail. “On Some Properties of the Space Lpw(Rn) and Lqt(Rn)”. Cankaya University Journal of Science and Engineering 13/2 (November 1, 2016). https://izlik.org/JA33BT42FA.
JAMA
1.Unal C, Aydin İ. On Some Properties of the Space Lpw(Rn) and Lqt(Rn). CUJSE. 2016;13. Available at https://izlik.org/JA33BT42FA.
MLA
Unal, Cihan, and İsmail Aydin. “On Some Properties of the Space Lpw(Rn) and Lqt(Rn)”. Cankaya University Journal of Science and Engineering, vol. 13, no. 2, Nov. 2016, https://izlik.org/JA33BT42FA.
Vancouver
1.Cihan Unal, İsmail Aydin. On Some Properties of the Space Lpw(Rn) and Lqt(Rn). CUJSE [Internet]. 2016 Nov. 1;13(2). Available from: https://izlik.org/JA33BT42FA