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Landau-Kolmogorov and Gagliardo-Nirenberg Inequalities for Differential Operators in Lorentz Spaces

Journal of the Indian Mathematical Society, 2022
In this paper, we establish some Landau-Kolmogorov inequalities and Gagliardo-Nirenberg inequalities for di?erential operators generated by polynomials. We illustrate the relation between ||P(D)f||N? and ||f||N?, ||Dm(P(D)f)||N? as follows||P(D)f||N?
V. N. Huy, Ngoc Nguyen
semanticscholar   +1 more source

Some Landau–Kolmogorov Type Inequalities for Differential Operators Generated by Polynomials

Studia scientiarum mathematicarum Hungarica (Print), 2021
In this paper, we establish some Landau–Kolmogorov type inequalities for differential operators generated by polynomials in the following formfor all , where 0 < g ≤ p ≤ ∞, and the differential operator P (D) is obtained from the polynomial P (x) by ...
V. N. Huy   +2 more
semanticscholar   +1 more source

Landau-Kolmogorov and Related Inequalities

1991
D S Mitrinović, J E Pecaric, A M Fink
exaly   +2 more sources

Additive Kolmogorov—Landau Inequalities

1998
Sergey K Bagdasarov, Bagdasarov Sergey K
exaly   +2 more sources

A Survey of Some Norm Inequalities

Complex Analysis and Operator Theory, 2021
We survey some classical norm inequalities of Hardy, Kallman, Kato, Kolmogorov, Landau, Littlewood, and Rota of the type ‖Af‖X2≤C‖f‖X‖A2f‖X,f∈dom(A2),\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts ...
F. Gesztesy, Roger Nichols, J. Stanfill
semanticscholar   +1 more source

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