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This article is cited in 9 scientific papers (total in 9 papers)
Weighted estimates of multidimensional singular integrals generated by the generalized shift operator
I. A. Aliev, A. D. Gadzhiev
Abstract:
Sufficient conditions on weights are found that ensure that a multidimensional singular integral operator generated by the generalized shift operator acts boundedly from one weighted
$L_p$-space into another. It is shown that in some cases the conditions are sharp.
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Russian Academy of Sciences. Sbornik. Mathematics, 1994, 77:1, 37–55
Bibliographic databases:
  
UDC:
517.968.23
MSC: 47G10, 45E10, 45P05, 47B37
Received: 28.12.1990
Citation:
I. A. Aliev, A. D. Gadzhiev, “Weighted estimates of multidimensional singular integrals generated by the generalized shift operator”, Mat. Sb., 183:9 (1992), 45–66; Russian Acad. Sci. Sb. Math., 77:1 (1994), 37–55
Citation in format AMSBIB
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\jour Mat. Sb.
\yr 1992
\vol 183
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\pages 45--66
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\transl
\jour Russian Acad. Sci. Sb. Math.
\yr 1994
\vol 77
\issue 1
\pages 37--55
\crossref{https://doi.org/10.1070/SM1994v077n01ABEH003428}
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http://mi.mathnet.ru/eng/msb1071 http://mi.mathnet.ru/eng/msb/v183/i9/p45
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Serbetci A., Ekincioglu I., “Boundedness of High Order Riesz-Bessel Transformations Generated by Generalized Shift Operator on B Alpha Spaces”, Chin. Ann. Math. Ser. B, 24:1 (2003), 65–72
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Guliev V., “Weighted Effects of Some Integral Operators and their Applications”, Progress in Analysis, Vols I and II, eds. Begehr H., Gilbert R., Wong M., World Scientific Publ Co Pte Ltd, 2003, 31–36
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V. S. Guliev, R. A. Bandaliev, “Two-Weight Inequalities for Integral Operators in $L_p$-Spaces of Banach-Valued Functions and Their Applications”, Proc. Steklov Inst. Math., 243 (2003), 185–203
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Serbetci A., Ekincioglu I., “Boundedness of Riesz Potential Generated by Generalized Shift Operator on Ba Spaces”, Czech. Math. J., 54:3 (2004), 579–589
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Ekincioglu I., Serbetci A., “On Weighted Estimates of High-Order Riesz-Bessel Transformations Generated by the Generalized Shift Operator”, Acta. Math. Sin.-English Ser., 21:1 (2005), 53–64
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R. A. Bandaliev, “Two-Weight Inequalities for Convolution Operators
in Lebesgue Space”, Math. Notes, 80:1 (2006), 3–10
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Guliyev V.S., Isayev F.A., “The Two-Weighted Inequalities for Sublinear Operators Generated by B Singular Integrals in Weighted Lebesgue Spaces”, Acta Appl. Math., 127:1 (2013), 1–16
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Ismail Ekincioglu, H.H. Sayan, Cansu Keskin, “High order Riesz transforms and mean value formula for generalized translate operator”, J Inequal Appl, 2014:1 (2014), 148
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E. L. Shishkina, “On weighted generalized functions associated with quadratic forms”, Probl. anal. Issues Anal., 5(23):2 (2016), 52–68
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