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Erratum: Weighted Fractional Leibniz-type Rules for Bilinear Multiplier Operators
Erratum to article [
1 ]: J. Brummer and V. Naibo, Weighted fractional Leibniz-type rules for bilinear multiplier operators, Potential Anal. 51 (1),... -
Kolmogorov and Markov Type Inequalities on Certain Algebraic Varieties
In this paper we introduce a generalization to compact subsets of certain algebraic varieties of the classical Markov inequality on the derivatives...
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Strengthened Fractional Sobolev Type Inequalities in Besov Spaces
The purpose of this article is twofold. The first is to strengthen fractional Sobolev type inequalities in Besov spaces via the classical Lorentz...
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Sobolev Embeddings for Fractional Hajłasz-Sobolev Spaces in the Setting of Rearrangement Invariant Spaces
We obtain symmetrization inequalities in the context of Fractional Hajłasz-Sobolev spaces in the setting of rearrangement invariant spaces and prove...
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Attainability of Second Order Adams Inequalities with Navier Boundary Conditions
We prove the existence of extremal functions for second order Adams inequalities with Navier boundary conditions on balls in ℝ n in any dimension n ...
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Two-Sided Boundary Points of Sobolev Extension Domains on Euclidean Spaces
We prove an estimate on the Hausdorff dimension of the set of two-sided boundary points of general Sobolev extension domains on Euclidean spaces. We...
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Weighted Discrete Hardy Inequalities on Trees and Applications
In this paper, we study certain inequalities and a related result for weighted Sobolev spaces on Hölder- α domains, where the weights are powers of...
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John—Nirenberg-Q Spaces via Congruent Cubes
To shed some light on the John—Nirenberg space, the authors of this article introduce the John—Nirenberg- Q space via congruent cubes,
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The Superposition Operator and Strauss Lemma in Logarithmic Besov Spaces
In this article, the author studies the superposition operator and Strauss lemma in Besov spaces with logarithmic smoothness. As consequences, the...
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Sharp Weighted Trudinger-Moser Inequalities with the Ln Norm in the Entire Space \(\mathbb {R}^{n}\) and Existence of Their Extremal Functions
In this paper, we mainly concern with the sharp weighted Trudinger-Moser inequalities with the L n norm on the whole space (See Theorem 1.1 and 1.3)....
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Sobolev-Type Inequalities on Cartan-Hadamard Manifolds and Applications to some Nonlinear Diffusion Equations
We investigate the validity, as well as the failure, of Sobolev-type inequalities on Cartan-Hadamard manifolds under suitable bounds on the sectional...