On two-weight inequalities for Hausdorff operators of special kind in Lebesgue spaces

References (17)

1. D.R. Aliyeva, On the boundedness of Hardy type integral operators in weighted Lebesgue space, Caspian J. Appl. Math., Ecol. Econ. 6 (1), 35-41, 2018
2. K.F. Andersen, Boundedness of Hausdorff operators on $L_p\left(\mathbb{R}^n\right),$ $H^1\left(\mathbb{R}^n\right),$ and $BMO\left(\mathbb{R}^n\right)$, Acta Sci. Math. (Szeged) 69 (1-2), 409-418, 2003
3. R.A. Bandaliev, On one inequalities for convolution type operator, Hacet. J. Math. Stat. 42 (3), 199-210, 2013
4. R.A. Bandaliyev and P. Górka, Hausdorff operator in Lebesgue spaces, Math. Inequal. Appl. 22 (2), 657-676, 2019
5. R.A. Bandaliev and K.K. Omarova, Two-weight norm inequalities for certain singular integrals, Taiwanese J. Math. 16 (2), 713-732, 2012
6. R.A. Bandaliyev and K.H. Safarova, On boundedness of multidimensional Hausdorff operator in weighted Lebesgue spaces, Tbilisi Math. J. 13 (1), 39-45, 2020
7. G. Brown and F. Mòricz, The Hausdorff operator and the quasi Hausdorff operators on the space $L^p,$ $1 [8] G. Brown and F. Mòricz, Multivariate Hausdorff operators on the spaces $L^p\left(\mathbb{R}^n\right)$, J. Math. Anal. Appl. 271 (2), 443-454, 2002
8. J. Chen, D. Fan and J. Li, Hausdorff operators on function spaces, Chin. Ann. Math. Ser. B, 33 (4), 537-556, 2013
9. J. Chen and X. Wu, Best constant for Hausdorff operators on n-dimensional product spaces, Sci. China Math. 57 (3), 569-578, 2014
10. D.E. Edmunds, V. Kokilashvili and A. Meskhi, Bounded and Compact Integral Operators, Kluwer Academic Publishers, 2002
11. G. Gao, X. Wu and W. Guo, Some results for Hausdorff operators, Math. Inequal. Appl. 18 (1), 155-168, 2015
12. A. Gogatishvili and V.D. Stepanov, Reduction theorems for weighted integral inequalities on the cone of monotone functions, Russian Math. Surveys 68 (4), 597-664, 2013
13. V.S. Guliyev, Two-weighted inequalities for integral operators in $L_p$-spaces and their applications, Proc. Steklov Math. Inst. 204 (3), 97-116, 1993
14. A. Hussain and A. Ajaib, Some weighted inequalities for Hausdorff operators and commutators, J. Inequal. Appl. 2018, Article No. 6, 2018
15. A. Hussain and G. Gao, Multidimensional Hausdorff operators and commutators on Herz-type spaces, J. Inequal. Appl. 2013, Article No. 594, 2013
16. A. Kufner, L. Maligranda and L.E. Persson, The Hardy inequality: About its history and some related results, Research report, Department of Mathematics, Luleå University of Technology, Sweden, 2005
17. S.N Lal and S. Ram, On