Weighted Inequalities of Hardy Type

By A. Kufner, Lars-Erik Persson. 2003

801 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/91668a367be5bb05c4e04b8dbfeec3cf2c770077

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

Citations in the corpus

Necessary and Sufficient Conditions for the Boundedness of the Riesz Potential in Local Morrey-type Spaces (2008, background): “55 and 56 .I t is known [31] (see also [ 26 ]) that the necessary and sufficient condition for the boundedness of H from Lθ1, ˆ1 (0, ∞) to Lθ2, ˆ v2,e (0, ∞) on the cone of all non-negative non-increasing on (0, ∞) functions, where θ1 ≤ 1, has the form: for some c49 > 0 for all t > 0”
Spectral-Collocation Methods for Fractional Pantograph Delay-Integrodifferential Equations (2013, neutral): “Lemma 8 (see [34]).”
A remark on optimal weighted Poincar\'e inequalities for convex domains (2012, neutral): “ ≥ min u∈W1,p(0,L) RL 0 |u|p−2u=0 ZL 0 |u′(x)|pdx ZL 0 |u(x)|pdx = π p L p . For an insight into generalized Wirtinger inequalities, and more generally into weighted Hardy inequalities, we refer to [18, 21, 30], other results can be found for instance in [10, 11, 14, 15, 25]. In Section 2, we prove ”
A framework for fractional Hardy inequalities (2013, background): “2) have been studied in [15] for weights of more general (but also more complicated) form and p > 1, and in [14, 15, 22] in the one-dimensional case.”
Kernel operators with variable intervals of integration in Lebesgue spaces and applications (2010, background): “1) in a primitive form was started in [2], the case a(x) = x, b(x) = 2x was later completely characterized in PhD Thesis by E.”
A NOTE ON JACOBI SPECTRAL-COLLOCATION METHODS FOR WEAKLY SINGULAR VOLTERRA INTEGRAL EQUATIONS WITH SMOOTH SOLUTIONS * (2013, neutral): “, [9, 14]).”
Hardy inequality on time scales and its application to half-linear dynamic equations (2005, background): “Let us mention at least a few papers [5, 11, 15], among many others dealing with various types of HI’s, and nice monographs [12, 13, 14].”
Bilateral Hardy-type inequalities (2012, background): “A large number of results on Hardy-type inequalities have been already collected and explored in the books [1–5].”
Time scales Hardy-type inequalities via superquadracity (2014, background): “the books [11, 12, 13] and the references there).”
Convergence analysis of Jacobi spectral collocation methods for Abel-Volterra integral equations of second kind (2012, neutral): “, [9,12,19]).”
Sharp bounds for Hardy type operators on higher-dimensional product spaces (2013, background): “For more information about the Hardy type operator, we refer to ([1],[2],[5],[8],[9]) and references therein.”