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On the limit as s -> 1- of possibly non-separable fractional Orlicz-Sobolev spaces
Extended versions of the Bourgain-Brezis-Mironescu theorems on the limit as s ! 1 of the Gagliardo-Slobodeckij fractional seminorm are established in the Orlicz space setting. Our results hold for fractional Orlicz-Sobolev ...
Pure mathematics
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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On the Limit as s -> 0+of Fractional Orlicz-Sobolev Spaces
An extended version of the Maz'ya-Shaposhnikova theorem on the limit as s -> 0(+) of the Gagliardo-Slobodeckij fractional seminorm is established in the Orlicz space setting. Our result holds in fractional Orlicz-Sobolev...
Pure mathematics
- 2020 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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Compactness for Sobolev-type trace operators
Compactness of arbitrary-order Sobolev type embeddings for traces of n-dimensional functions on lower dimensional subspaces is investigated. Sobolev spaces built compactness of trace embeddings for classical Sobolev
Pure mathematics
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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Optimal Domain Spaces in Orlicz-Sobolev Embeddings
possible) Orlicz-Sobolev space continuously embedded into a given Orlicz space. Moreover, the optimal Orlicz-Sobolev space is shown whenever it exists. Parallel questions are addressed for Orlicz-Sobo...
Pure mathematics
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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Bi-Sobolev homeomorphism with zero Jacobian almost everywhere
We construct a homeomorphism in the Sobolev space with inverse in the Sobolev space such that the Jacobian of both f and f^{-1} vanish almost everywhere....
BA - Obecná matematika
- 2014 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Optimal Sobolev imbedding spaces
We give a precise explicit characterization of rearrangement-invariant spaces that appear in Sobolev imbedding spaces and that cannot be further improved....
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Sobolev embeddings in Orlicz and Lorentz spaces with measures
Embedding theorems for Orlicz-Sobolev spaces into Orlicz or Orlicz-Lorentz spaces in domains in R-n, endowed with a Frostman measure, are offered. Parallel embeddings for Lorentz-Sobolev spaces into (gener...
Pure mathematics
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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SHARP SOBOLEV TYPE EMBEDDINGS ON THE ENTIRE EUCLIDEAN SPACE
to the classes of the Orlicz-Sobolev and the Lorentz-Sobolev spaces are also presentedA comprehensive approach to Sobolev type embeddings, involving arbitrary rearrangement-invariant norms on the entire Euclidean ...
Pure mathematics
- 2018 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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BANACH ALGEBRAS OF WEAKLY DIFFERENTIABLE FUNCTIONS
The question is addressed of when a Sobolev type space, built upon a general of the Sobolev space, the strength of the norm, and the (ir)regularity of the domain is provided for the relevant Sobolev sp...
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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OPTIMAL SOBOLEV TRACE EMBEDDINGS
Optimal target spaces are exhibited in arbitrary-order Sobolev type embeddings for traces of n-dimensional functions on lower dimensional subspaces. Sobolev spaces) target spaces, for classical Sobolev...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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