COMPACTIFICATION OF WEIGHTED HARDY OPERATOR IN VARIABLE EXPONENT LEBESGUES SPACES

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Published: 2017-03-24

Page: 38-47


FARMAN I. MAMEDOV

Institute of Mathematics and Mechanics, National Academy of Sciences, Baku 1141, B. Vahabzade, 9, Azerbaijan.

YUSUF ZEREN

Department of Mathematics, Faculty of Science, Yildiz Technical University, Davutpasa, 34210 Esenler, Istanbul, Turkey.

LUTFI AKIN *

Department of Enterprise, Faculty of Trade and Economi, Mardin Artuklu University, Artuklu, 47100 Mardin, Turkey.

*Author to whom correspondence should be addressed.


Abstract

We study necessity and sufficiency conditions for the weighted Hardy operator Ηvw f (x)=v(x) f(t)w(t)dt to be compact from Lp(.)(0,l) to Lq(.)(0,l).

Keywords: Variable exponent, necessity and sufficiency conditions, compactification, weighted hardy operator


How to Cite

MAMEDOV, F. I., ZEREN, Y., & AKIN, L. (2017). COMPACTIFICATION OF WEIGHTED HARDY OPERATOR IN VARIABLE EXPONENT LEBESGUES SPACES. Asian Journal of Mathematics and Computer Research, 17(1), 38–47. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/908

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