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Sharp embeddings of Bessel potential spaces with logarithmic smoothness.
We derive simple conditions, which are both necessary and sufficient, for the validity of sharp local embeddings....... and sharp global embeddings...... ....
BA - Obecná matematika
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
An elementary proof of sharp Sobolev embeddings
We present an elementary unified and self-contained proof of sharp Sobolev embedding theorems. We introduce a new function space and use it to improve the limiting Sobolev embedding theorem due to Brézis and Wainger....
BA - Obecná matematika
- 2002 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A sharp form of an embedding into multiple exponential spaces
We extend the well-known result by Moser, concerning the embedding of Sobolev spaces into exponential Orlicz spaces, for embedding of Orlicz-Sobolev spaces into multiple exponential Orlicz spaces....
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Sharp Embeddings of Besov Spaces with Logarithmic Smoothness
We present an elementary and direct approach to obtain sharp embeddings of Besov spaces with the classical smoothness and a logarithmic smoothness into Lorenz-Zygmund spaces. We cover both the sub-limiting and the limiting cases and...
GA - Zemědělská ekonomie
- 2005 •
- D
Rok uplatnění
D - Stať ve sborníku
Sharp embeddings of Besov spaces involving only logarithmic smoothness
We use Kolyada´s inequality and its converse form to prove sharp embeddings of Besov spaces (involving the zero classical smoothness and a logarithmic smoothness with the exponent .beta.) into Lorentz-Zygmund spaces. We also determi...
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Embeddings of Bessel Potential and Sobolev Type Spaces.
We survey our results on sharp embeddings of Bessel potential spaces modelled upon generalized Lorentz-Zygmund spaces and clarify the role of the logaritmic terms involved in their quasi-norms. As consequences, we obtain analogous r...
BA - Obecná matematika
- 2000 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Sharp embeddings of Besov-type spaces
We prove sharp embeddings of Besov spaces B ... (R) involving both the classical smoothness .sigma. and a slowly varying smoothness b into Lorentz-Karamata spaces. Our methods are quite elementary, we use neither the interpolation t...
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Non-Compact and Sharp Embeddings of Logarithmic Bessel Potential Spaces of Logarithmic Bessel Potential Spaces into Holder-Type Spaces
In our recent paper (Compact and continuous embeddings of logarithmic Bessel potential spaces. Studia Math. 168(2005), 229-250) we have proved an embedding of Holder-continuous functions. We show that such an embedding is n...
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Sharpness and non-compactness of embeddings of Bessel-potential-type spaces
We establish embeddings for Bessel potential spaces modeled upon Lorentz-Karamata spaces with order of smoothness less than one. The target spaces are of Hölder-continuous type. In the super-limiting case we also prove that embedding
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Non-Compact and Sharp Embeddings of Logarithmic Bessel Potential Spaces into Hölder-Type Spaces
In our recent paper [Compact and continuous embeddings of logarithmic Bessel potential spaces. Studia Math. 168 (2005), 229-250] we have proved an embeddings into a space of .lambda. (.)-Hölder-continuous functions. We show that suc...
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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