## Found 26 Documents (Results 1–26)

### Hausdorff and Dunkl-Hausdorff operators in Lebesgue spaces for monotone functions and monotone weights.(English)Zbl 07636972

MSC:  47B38 26D10 26D15
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### Generalized fractional maximal functions in Lorentz spaces $$\Lambda$$.(English)Zbl 1403.42021

MSC:  42B25 42B35
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### Representability of cones of monotone functions in weighted Lebesgue spaces and extrapolation of operators on these cones. (Represensibility of cones of monotone functions in weighted Lebesgue spaces and extrapolation of operators on these cones.)(English. Russian original)Zbl 1400.46021

St. Petersbg. Math. J. 29, No. 4, 545-574 (2018); translation from Algebra Anal. 29, No. 4, 1-44 (2017).
MSC:  46E30 46B42
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MSC:  26D15
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### Boundedness of quasilinear integral operators of iterated type with Oinarov’s kernel on the cone of monotone functions.(English. Russian original)Zbl 1495.45009

Dokl. Math. 96, No. 1, 315-320 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 475, No. 1, 17-23 (2016).
MSC:  45P05
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### Boundedness of a class of quasilinear operators on the cone of monotone functions.(English. Russian original)Zbl 1489.47071

Dokl. Math. 94, No. 3, 697-702 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 471, No. 6, 645-650 (2016).
MSC:  47G10
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### Weighted inequalities for quasilinear integral operators on the semi-axis and applications to Lorentz spaces.(English. Russian original)Zbl 1365.26022

Sb. Math. 207, No. 8, 1159-1186 (2016); translation from Mat. Sb. 207, No. 7, 135-162 (2016).
MSC:  26D15 47G10
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### Boundedness of quasilinear integral operators on the cone of monotone functions.(English. Russian original)Zbl 1360.45012

Sib. Math. J. 57, No. 5, 884-904 (2016); translation from Sib. Mat. Zh. 57, No. 5, 1131-1155 (2016).
MSC:  45P05 26D15 47G10
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### On optimal Banach spaces containing a weighted cone of monotone or quasi-concave functions.(English. Russian original)Zbl 1344.46025

Dokl. Math. 92, No. 2, 545-547 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 464, No. 2, 145-147 (2015).
MSC:  46E30
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### Hardy-type inequalities on the weighted cones of quasi-concave functions.(English)Zbl 1312.26046

MSC:  26D15 47G10
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### Weight boundedness of a class of quasilinear operators on the cone of monotone functions.(English. Russian original)Zbl 1311.47013

Dokl. Math. 90, No. 2, 569-572 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 3, 268-271 (2014).
MSC:  47A30 26D10
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### The weighted inequalities for a certain class of quasilinear integral operators on the cone of monotone functions.(English. Russian original)Zbl 1318.26047

Sib. Math. J. 55, No. 4, 745-767 (2014); translation from Sib. Mat. Zh. 55, No. 4, 912-936 (2014).
MSC:  26D15
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### Reduction theorems for operators on the cones of monotone functions.(English)Zbl 1326.47063

MSC:  47H07 46E30
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### Reduction theorems for weighted integral inequalities on the cone of monotone functions.(English. Russian summary)Zbl 1288.26018

Russ. Math. Surv. 68, No. 4, 597-664 (2013); translation from Usp. Mat. Nauk 68, No. 4, 3-68 (2013).
MSC:  26D15 47G10
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### Integral operators on cones of monotone functions.(English. Russian original)Zbl 1281.26014

Dokl. Math. 86, No. 1, 562-565 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 445, No. 6, 618-621 (2012).
MSC:  26D10
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MSC:  42B30
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MSC:  26D10
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### Two-sided Hardy-type inequalities for monotone functions.(English. Russian original)Zbl 1196.26033

Dokl. Math. 80, No. 3, 814-817 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 429, No. 2, 159-162 (2009).
MSC:  26D15
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MSC:  26D10
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### Characterisation of embeddings in Lorentz spaces.(English)Zbl 1128.26012

MSC:  26D10 47B37
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### Interpolation restricted to decreasing functions and Lorentz spaces.(English)Zbl 0932.46017

MSC:  46B70 46E30 46M35
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