\author    Е.~Н.~Ломакина, М.~Г.~Насырова \endauthor

\Refs

\ref\no 1
\by             Pietsch~A.
      \book     Operator Ideals
      \publ     VEB Deutscher Verlag der Wissenschaften %pr
      \publaddr Berlin
      \yr       1978
\endref

\ref\no 2
\by                  K\"onig H.
\book                Eigenvalue Distribution of Compact Operators
\publ                Birkh\"auser
\publaddr            Basel
\yr                  1986
\endref

\ref\no 3
\by                 Pietsch~A.
\book               Eigenvalues and $S$-Numbers
\publaddr           Cambridge
\publ               Cambridge University
\yr                 1987
\finalinfo          Cambridge Studies in Advanced Mathematics; vol.~13
\endref

\ref\no 4
\by                Edmunds D.E. and Evans W.D.
      \book        Spectral Theory and Differential Operators
      \publ        Oxford
      \publaddr    Oxford University
      \yr          1987
\endref
%VN       \yr          1987

\ref\no 5
\by              Carl~B. and Stephani~I.
	\book        Entropy, Compactness and the Approximation of Operators
	\publaddr    Cambridge
	\publ        Cambridge University
	\yr          1990
\endref

\ref\no 6
 \by              Bennett~C. and Sharpley~R.
 	\book         Interpolation of Operators
 	\publaddr     Boston
 	\publ         Academic
 	\yr           1988
\finalinfo        Pure and Appl. Math.; vol.~124
\endref

\ref\no 7
\by               Barza~S., Kolyada~V., and Soria~J.
\paper            Sharp constants related to the triangle inequality in Lorentz spaces
\jour             Trans. Amer. Math. Soc.
\yr               2009
\vol              361
\issue            10
\pages            5555--5574
\endref

\ref\no 8
\by               Edmunds~D.E., Evans~W.D., and Harris~D.
\paper            Approximation numbers of certain Volterra integral operators
\jour             J.~London Math. Soc. (2)
\yr               1988
\vol              38
\pages            471--489
\endref

\ref\no 9
\by               Edmunds~D.E. and Stepanov~V.D.
\paper            On the singular numbers of certain Volterra integral operators
\jour             J.~Funct. Anal.
\yr               1995
\vol              134
\issue            1
\pages            222--246
\endref

\ref\no 10
\by               Edmunds~D.E., Evans~W.D., and Harris~D.
\paper            Two-sided estimates of the approximation numbers of certain Volterra integral operators
\jour             Studia Math.
\yr               1997
\vol              124
\issue            1
\pages            59--80
\endref
%VN inteqral - integral

\ref\no 11
\by                  Lomakina~E., Stepanov~V.
\paper               On asymptotic behaviour of the approximation numbers and estimates of
                     Schatten--von Neumann norms of	Hardy-type integral operators
\inbook              Function  Spaces and Applications
\publaddr            New Delhi
\publ                Narosa %Publishing House
\yr                  2000
\pages               153--187
\endref

\ref\no 12
\by           Lifshits~M.A. and Linde~W.
\paper        Approximation and entropy numbers of Volterra operators with application to Brownian motion
\jour         Mem. Amer. Math. Soc.
\yr           2002
\vol          157
\issue        745
\pages        1--87
\endref

\ref\no 13
\by                  Lomakina~E. and Stepanov~V.
\paper               On the compactness and approximation numbers of Hardy type integral operators in Lorentz spaces
\jour                J.~London Math. Soc. (2)
\yr                  1996
\vol                 53
\pages               369--382
\endref

\ref\no 14
\by                  Lomakina~E. and Stepanov~V.
\paper               On the Hardy-type integral operators in Banach function spaces
\jour                Publ. Mat.
\yr                  1998
\vol                 42
\pages               165--194
\endref
%VN  spases -  spaces

\ref\no 15
\by                  Lomakina~E.N.
\paper               On estimates for the norms of the Hardy operator acting in the Lorenz spaces  
\jour                Dal'nevost. Mat. Zh.
\yr                  2020
\vol                 20
\issue               2
\pages               191--211
\endref
% Ломакина~Е.~Н.
%Об оценках норм оператора Харди, действующего в пространствах Лоренца

\ref\no 16
\by                  Sawyer~E.~T.
\paper               Weighted Lebesgue and Lorentz norm inequalities for the Hardy operator
\jour                Trans. Amer. Math. Soc.
\yr                  1984
\vol                 281
\pages               329--337
\endref

\ref\no 17
\by                  Lomakina~E.N.,  Nasyrova~M.G., and Nasyrov~V.V.
\paper               %\?Some numbers of the Hardy operator acting in the Lorenz spaces  
The estimates of the approximation numbers of the Hardy operator acting in the Lorenz spaces in the case $\max(r,s)\le q$
\jour                Far Eastern Math.~J. %Dal'nevost. Mat. Zh.
\yr                  2021
\vol                 21
\issue               1
\pages               71--88
\endref
%Ломакина~Е.~Н.,  Насырова~М.~Г., Насыров~В.~В.
%О некоторых числах оператора Харди в пространствах Лоренца

\ref\no 18
\by              Pietsch~A.
\paper           $s$-Numbers of operators in Banach spaces
\jour            Studia Math.
\yr              1974
\vol             51
\pages           201--223
\endref

\ref\no 19
     \by        Grafakos~L.
      \book     Classical Fourier Analysis
      \bookinfo Third Edition
      \publ     Springer
      \publaddr New York
      \yr       2014
   \finalinfo   Graduate Texts in Math., no.~249
\endref
\endRefs

\enddocument