Search Results - "Opic, Bohumír"

Description of K‐spaces by means of J‐spaces and the reverse problem in the limiting real interpolation by Opic, Bohumír, Grover, Manvi

“…We establish conditions under which K‐spaces in the limiting real interpolation involving slowly varying functions can be described by means of J‐spaces and we…”
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A unified approach to inequalities for K-functionals and moduli of smoothness by Gogatishvili, Amiran, Opic, Bohumír, Tikhonov, Sergey, Trebels, Walter

“…The paper provides a detailed study of crucial inequalities for smoothness and interpolation characteristics in rearrangement invariant Banach function spaces…”
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Limiting variants of Krasnoselʼskiĭʼs compact interpolation theorem by Edmunds, David E., Opic, Bohumír

“…We illustrate how limiting variants of Krasnoselʼskiĭʼs compact interpolation theorem may be obtained. As a special case of our results it follows that…”
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Ulyanov-type Inequalities Between Lorentz–Zygmund Spaces by Gogatishvili, Amiran, Opic, Bohumír, Tikhonov, Sergey, Trebels, Walter

“…We establish inequalities of Ulyanov-type for moduli of smoothness relating the source Lorentz–Zygmund space L p , r ( log L ) α - γ , γ > 0 , and the target…”
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Sharp Hardy inequalities of fractional order involving slowly varying functions by Gurka, Petr, Opic, Bohumír

“…We establish necessary and sufficient conditions for the validity of Hardy inequalities of fractional orders involving weights which are products of power-type…”
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Sharp embeddings of Besov-type spaces by Gurka, Petr, Opic, Bohumír

“…We prove sharp embeddings of Besov spaces B p , r σ , b ( R ) involving both the classical smoothness σ and a slowly varying smoothness b into Lorentz–Karamata…”
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The averaging integral operator between weighted Lebesgue spaces and reverse Hölder inequalities by Opic, Bohumír

“…Let 1 < p ≤ q < +∞ and v, w be weights on (0, +∞) such that v(x)x ρ is equivalent to a non-decreasing function on (0, +∞) for some ρ ≥ 0, and Let A be the…”
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Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness by Caetano, António M., Gogatishvili, Amiran, Opic, Bohumír

“…We characterize local embeddings of Besov spaces B p , r 0 , b involving only a slowly varying smoothness b into classical Lorentz spaces. These results are…”
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Embeddings of Sobolev-type spaces into generalized Hölder spaces involving k-modulus of smoothness by Gogatishvili, Amiran, Moura, Susana D., Neves, Júlio S., Opic, Bohumír

“…We use an estimate of the k -modulus of smoothness of a function f such that the norm of its distributional gradient | ∇ k f | belongs locally to the Lorentz…”
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Interpolation of uniformly absolutely continuous operators by Cobos, Fernando, Gogatishvili, Amiran, Opic, Bohumír, Pick, Luboš

“…We develop a method suitable for interpolation of uniformly absolutely continuous operators. We then apply this method to establishing compactness of operators…”
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Compact embeddings of besov spaces involving only slowly varying smoothness by Caetano, António, Gogatishvili, Amiran, Opic, Bohumír

“…We characterize compact embeddings of Besov spaces B p,r 0, b (ℝ n ) involving the zero classical smoothness and a slowly varying smoothness b into…”
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Optimal Embeddings of Bessel-Potential-Type Spaces into Generalized Hölder Spaces Involving k-Modulus of Smoothness by Gogatishvili, Amiran, Neves, Júlio S., Opic, Bohumír

“…We establish necessary and sufficient conditions for embeddings of Bessel potential spaces H σ X (IR n ) with order of smoothness σ  ∈ (0, n ), modelled upon…”
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Sharp estimates of the k-modulus of smoothness of Bessel potentials by Gogatishvili, Amiran, Neves, Júlio S., Opic, Bohumír

“…Let X(ℝn) = X(ℝn, μn) be a rearrangement-invariant Banach function space over the measure space (ℝn, μn), where μn stands for the n-dimensional Lebesgue…”
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Optimal embeddings and compact embeddings of Bessel-potential-type spaces by Gogatishvili, Amiran, Neves, Júlio S., Opic, Bohumír

“…First, we establish necessary and sufficient conditions for embeddings of Bessel potential spaces with order of smoothness less than one, modelled upon…”
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Weighted estimates for the averaging integral operator by Opic, Bohumír, Rákosník, Jiří

“…Let $1 satisfying: \hskip-5cm \begin{align} (\star)\qquad &v(x)x^{\rho} \text{is equivalent to a non-decreasing function on}\ (0,+\infty)\nonumber\\ &\text{for…”
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Sharpness and non-compactness of embeddings of Bessel-potential-type spaces by Gogatishvili, Amiran, Severino Neves, Júlio, Opic, Bohumír

“…We establish embeddings for Bessel potential spaces modeled upon Lorentz–Karamata spaces with order of smoothness less than one. The target spaces are of…”
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On Embeddings of Logarithmic Bessel Potential Spaces by Edmunds, David E., Gurka, Petr, Opic, Bohumı́r

“…We present embedding theorems for certain logarithmic Bessel potential spaces modelled upon generalized Lorentz–Zygmund spaces and clarify the role of the…”
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Equivalent quasi-norms on Lorentz spaces by Edmunds, David E., Opic, Bohumír

“…We give new characterizations of Lorentz spaces by means of certain quasi-norms which are shown to be equivalent to the classical ones…”
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Double Exponential Integrability of Convolution Operators in Generalized Lorentz–Zygmund Spaces by Edmunds, David E., Gurka, Petr, Opic, Bohumír

“…This paper provides estimates for an appropriate norm of the convolution of a function in a Lorentz space with one in a generalized Lorentz-Zygmund space. As a…”
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Norms of embeddings of logarithmic Bessel potential spaces by Edmunds, David E., Gurka, Petr, Opic, Bohumír

“…Let \Omega be a subset of \mathbb{R}\sp{n} with finite volume, let \nu >0 and let \Phi be a Young function with \Phi (t) = \exp (\exp t\sp{\nu }) for large t…”
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