Research Article

Inequalities with conjugate exponents in grand Lebesgue spaces

Volume: 44 Number: 1 February 1, 2015
  • René Erlín Castillo *
  • Humberto Rafeiro
EN

Inequalities with conjugate exponents in grand Lebesgue spaces

Abstract

In this paper we want to show the validity of the generalized doubleparametric Hilbert inequality with conjugate exponents in the framework of grand Lebesgue spaces as a particular case of a more general result involving an homogeneous kernel. We also study the boundedness of an integral operator with the aforementioned kernel. 

Keywords

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

René Erlín Castillo * This is me

Humberto Rafeiro This is me

Publication Date

February 1, 2015

Submission Date

November 2, 2013

Acceptance Date

December 13, 2013

Published in Issue

Year 2015 Volume: 44 Number: 1

APA
Castillo, R. E., & Rafeiro, H. (2015). Inequalities with conjugate exponents in grand Lebesgue spaces. Hacettepe Journal of Mathematics and Statistics, 44(1), 33-39. https://izlik.org/JA89JU27MK
AMA
1.Castillo RE, Rafeiro H. Inequalities with conjugate exponents in grand Lebesgue spaces. Hacettepe Journal of Mathematics and Statistics. 2015;44(1):33-39. https://izlik.org/JA89JU27MK
Chicago
Castillo, René Erlín, and Humberto Rafeiro. 2015. “Inequalities With Conjugate Exponents in Grand Lebesgue Spaces”. Hacettepe Journal of Mathematics and Statistics 44 (1): 33-39. https://izlik.org/JA89JU27MK.
EndNote
Castillo RE, Rafeiro H (February 1, 2015) Inequalities with conjugate exponents in grand Lebesgue spaces. Hacettepe Journal of Mathematics and Statistics 44 1 33–39.
IEEE
[1]R. E. Castillo and H. Rafeiro, “Inequalities with conjugate exponents in grand Lebesgue spaces”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 1, pp. 33–39, Feb. 2015, [Online]. Available: https://izlik.org/JA89JU27MK
ISNAD
Castillo, René Erlín - Rafeiro, Humberto. “Inequalities With Conjugate Exponents in Grand Lebesgue Spaces”. Hacettepe Journal of Mathematics and Statistics 44/1 (February 1, 2015): 33-39. https://izlik.org/JA89JU27MK.
JAMA
1.Castillo RE, Rafeiro H. Inequalities with conjugate exponents in grand Lebesgue spaces. Hacettepe Journal of Mathematics and Statistics. 2015;44:33–39.
MLA
Castillo, René Erlín, and Humberto Rafeiro. “Inequalities With Conjugate Exponents in Grand Lebesgue Spaces”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 1, Feb. 2015, pp. 33-39, https://izlik.org/JA89JU27MK.
Vancouver
1.René Erlín Castillo, Humberto Rafeiro. Inequalities with conjugate exponents in grand Lebesgue spaces. Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Feb. 1;44(1):33-9. Available from: https://izlik.org/JA89JU27MK