On weighted Hardy inequalities in mixed norms
Informatics and Automation, Function theory and equations of mathematical physics, Tome 283 (2013), pp. 155-170.

Voir la notice de l'article provenant de la source Math-Net.Ru

A characterization of weighted Hardy inequalities in mixed norms on a half-axis is obtained.
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D. V. Prokhorov; V. D. Stepanov. On weighted Hardy inequalities in mixed norms. Informatics and Automation, Function theory and equations of mathematical physics, Tome 283 (2013), pp. 155-170. http://geodesic.mathdoc.fr/item/TRSPY_2013_283_a10/

[1] Burenkov V.I., Gogatishvili A., Guliev V.S., Mustafayev R.Ch., “Boundedness of the fractional maximal operator in local Morrey-type spaces”, Complex Var. Elliptic Eqns., 55:8–10 (2010), 739–758 | DOI | MR | Zbl

[2] Burenkov V.I., Gogatishvili A., Guliev V.S., Mustafayev R.Ch., “Boundedness of the Riesz potential in local Morrey-type spaces”, Potential Anal., 35:1 (2011), 67–87 | DOI | MR | Zbl

[3] Gogatishvili A., Mustafayev R.Ch, Persson L.-E., “Some new iterated Hardy-type inequalities”, J. Funct. Spaces Appl., 2012, 734194 | MR | Zbl

[4] Prokhorov D.V., Stepanov V.D., “Vesovye otsenki operatorov Rimana–Liuvillya i prilozheniya”, Tr. MIAN, 243, 2003, 289–312 | MR | Zbl

[5] Gogatishvili A., Opic B., Pick L., “Weighted inequalities for Hardy-type operators involving suprema”, Collect. math., 57:3 (2006), 227–255 | MR | Zbl

[6] Prokhorov D.V., “Inequalities for Riemann–Liouville operator involving suprema”, Collect. math., 61:3 (2010), 263–276 | DOI | MR | Zbl

[7] Prokhorov D.V., “Lorentz norm inequalities for the Hardy operator involving suprema”, Proc. Amer. Math. Soc., 140:5 (2012), 1585–1592 | DOI | MR | Zbl

[8] Prokhorov D.V., Stepanov V.D., “O supremalnykh operatorakh”, DAN., 439:1 (2011), 28–29 | MR | Zbl

[9] Stepanov V.D., “On a supremum operator”, Spectral theory, function spaces and inequalities: New technique and recent trends, Oper. Theory: Adv. Appl., 219, Springer, Berlin, 2012, 233–242 | MR | Zbl

[10] Gol'dman M.L., Heinig H.P., Stepanov V.D., “On the principle of duality in Lorentz spaces”, Can. J. Math., 48:5 (1996), 959–979 | DOI | MR | Zbl

[11] Bradley J.S., “Hardy inequalities with mixed norms”, Can. Math. Bull., 21 (1978), 405–408 | DOI | MR | Zbl

[12] Sinnamon G., Stepanov V.D., “The weighted Hardy inequality: New proofs and the case $p=1$”, J. London Math. Soc. Ser. 2, 54:1 (1996), 89–101 | DOI | MR | Zbl

[13] Kabaila V., “Imbedding of spaces of sequences”, Lith. Math. J., 21:3 (1981), 224–226 | DOI | MR | Zbl

[14] Bennett G., “Some elementary inequalities. III”, Q. J. Math. Oxford. Ser. 2, 42 (1991), 149–174 | DOI | MR | Zbl

[15] Goldman M.L., “Tochnye otsenki norm operatorov tipa Khardi na konusakh kvazimonotonnykh funktsii”, Tr. MIAN, 232, 2001, 115–143 | Zbl