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109 768 (0,188s)

Result

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 logarithmic Bessel potential space wi...

BA - Obecná matematika

  • 2006
  • Jx
Result

Bessel Potential Spaces with Variable Exponent

We show that a variable exponent Bessel potential space coincides with the variable exponent Sobolev space if the Hardy-Littlewood maximal operator is bounded on the underlying variable exponent Lebesgue space<...

BA - Obecná matematika

  • 2007
  • Jx
Result

Optimality of embeddings of Bessel-potential-type spaces into Lorentz-Karamata spaces

We establish sharpness of embedding theorems for Bessel-potential spaces modelled upon Lorentz-Karamata (LK) spaces and we prove the noncompactness of such embeddings. Target spaces in our embeddings are L...

BA - Obecná matematika

  • 2004
  • Jx
Result

Compact and continuous embeddings of logarithmic Bessel potential spaces

We establish compact and continuous embeddings for Bessel potential spaces modelled upon generalized Lorentz-Zygmund spaces. The target spaces are either of Lorentz-Zygmund or Hölder type......

BA - Obecná matematika

  • 2005
  • Jx
Result

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 of a logaritmic Bessel potenrial space with ord...

BA - Obecná matematika

  • 2006
  • Jx
Result

Optimality of embeddings of Bessel-potential-type spaces

Sharpness and non-compactness of embedding theorems for Bessel-potential spaces modelled upon Lorentz-Karamata spaces are presented. Target spaces are Lorentz-Karamata spaces and generalised Hölde...

BA - Obecná matematika

  • 2005
  • D
Result

Optimality of embeddings of Bessel-potential-type spaces into generalized Hölder spaces

We establish the sharpness of embedding theorems for Bessel-potential spaces modelled upon Lorentz-Karamata spaces and we prove the non-compactness of such embeddings. Target spaces in our embeddings are g...

BA - Obecná matematika

  • 2005
  • Jx
Result

Compact Embeddings of Bessel-Potential-Type Spaces into Generalized Hoelder Spaces Involving k-Modulus of Smoothness

We present conditions which are necessary and sufficient for compact embeddings of Bessel potential spaces, modelled upon a rearrangement- -invariant Banach function spaces, into generalized Hoelder spaces...

BA - Obecná matematika

  • 2011
  • Jx
  • Link
Result

Optimal embeddings and compact embeddings of Bessel-potential-type spaces

of Bessel potential spaces H.sigma. X (Rn) with order of smoothness less than one, modelled upon rearrangement invariant Banach function spaces X (Rn), into generalized of the convolution of a function f .. X (Rn)...

BA - Obecná matematika

  • 2009
  • Jx
Result

Continuous and compact embeddings of Bessel-potential-type spaces

We survey, comment and complement our results on embeddings of Bessel potential spaces modelled upon Lorentz-Karamata spaces. Target spaces in our embeddings are either Lorentz-Karamata spaces or ...

BA - Obecná matematika

  • 2012
  • O
  • Link
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