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Characterizations of periodic function spaces of Besov-Sobolev type via approximation processes and relations to the strong summability of Fourier series

100%

Schmeisser H.-J.

Banach Center Publications

|

1989

|

tom 22

|

nr 1

341-361

2

Dimension-invariant Sobolev imbeddings

63%

Krbec M., Schmeisser H.-J.

Banach Center Publications

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2011

|

tom 92

|

nr 1

205-217

EN

We survey recent dimension-invariant imbedding theorems for Sobolev spaces.

3

Some remarks on strong approximation by Cesàro means

63%

Schmeisser H.-J., Sickel W.

Banach Center Publications

|

1989

|

tom 22

|

nr 1

363-375

4

Critical imbeddings with multivariate rearrangements

63%

Krbec M., Schmeisser H.-J.

Studia Mathematica

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2007

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tom 181

|

nr 3

255-284

EN

We are concerned with imbeddings of general spaces of Besov and Lizorkin-Triebel type with dominating mixed derivatives in the first critical case. We employ multivariate exponential Orlicz and Lorentz-Orlicz spaces as targets. We study basic properties of the target spaces, in particular, we compare them with usual exponential spaces, showing that in this case the multivariate clones are in fact better adapted to the character of smoothness of the imbedded spaces. Then we prove sharp limiting imbedding theorems and establish estimates for the multivariate growth envelope functions.

Ograniczanie wyników

3 Banach Center Publications

1 Studia Mathematica

4 Schmeisser H.-J.

2 Krbec M.

1 Sickel W.

1 2011

1 2007

2 1989

Characterizations of periodic function spaces of Besov-Sobolev type via approximation processes and relations to the strong summability of Fourier series

Dimension-invariant Sobolev imbeddings

Some remarks on strong approximation by Cesàro means

Critical imbeddings with multivariate rearrangements