Matches in SemOpenAlex for { <https://semopenalex.org/work/W2735990015> ?p ?o ?g. }
- W2735990015 abstract "In [18] and [19] we have studied compact embeddings of weighted function spaces on Rn, id : Hs q (w(x),Rn) −→ Lp(R), s > 0, 1 0, with, for example, w(x) = 〈x〉α, α > 0, or w(x) = logβ〈x〉, β > 0, and 〈x〉 = (2 + |x|2)1/2. We have determined the behaviour of their entropy numbers ek(id). Now we are interested in the limiting case 1/q = 1/p + s/n. Let w(x) = logβ〈x〉, β > 0. Our results in [18] imply that id cannot be compact for any β > 0, but replacing the target space Lp(R) by some ’slightly’ larger one, Lp(log L)−a(R), a > 0, the respective embedding becomes compact and we can study its entropy numbers. Finally we apply our result to estimate eigenvalues of the compact operator B = b2 ◦ b(·, D) ◦ b1 acting in some Lp space, where b(·, D) belongs to some Hormander class Ψ−κ 1,γ , κ > 0, 0 ≤ γ < 1, and b1, b2 are in (weighted) logarithmic Lebesgue spaces on Rn. Another application concerns the study of ’negative spectra’ via the Birman-Schwinger principle. The last part shows possible generalisations of the spaces Lp(log L)−a(X) on spaces of homogeneous type (X, δ, μ)." @default.
- W2735990015 created "2017-07-21" @default.
- W2735990015 creator A5068107404 @default.
- W2735990015 date "1998-01-01" @default.
- W2735990015 modified "2023-09-26" @default.
- W2735990015 title "Some logarithmic function spaces, entropy numbers, applications to spectral theory" @default.
- W2735990015 cites W1498738848 @default.
- W2735990015 cites W1499500817 @default.
- W2735990015 cites W1506153731 @default.
- W2735990015 cites W1533889494 @default.
- W2735990015 cites W158261362 @default.
- W2735990015 cites W1594572592 @default.
- W2735990015 cites W162854683 @default.
- W2735990015 cites W1969673413 @default.
- W2735990015 cites W1972681985 @default.
- W2735990015 cites W1984620051 @default.
- W2735990015 cites W1990393033 @default.
- W2735990015 cites W2008053881 @default.
- W2735990015 cites W2012342017 @default.
- W2735990015 cites W2020082001 @default.
- W2735990015 cites W2036977635 @default.
- W2735990015 cites W2047747089 @default.
- W2735990015 cites W2053485408 @default.
- W2735990015 cites W2065712619 @default.
- W2735990015 cites W2081818744 @default.
- W2735990015 cites W2082710360 @default.
- W2735990015 cites W2091702049 @default.
- W2735990015 cites W2155103946 @default.
- W2735990015 cites W246015835 @default.
- W2735990015 cites W3106701453 @default.
- W2735990015 hasPublicationYear "1998" @default.
- W2735990015 type Work @default.
- W2735990015 sameAs 2735990015 @default.
- W2735990015 citedByCount "7" @default.
- W2735990015 countsByYear W27359900152014 @default.
- W2735990015 countsByYear W27359900152021 @default.
- W2735990015 crossrefType "journal-article" @default.
- W2735990015 hasAuthorship W2735990015A5068107404 @default.
- W2735990015 hasConcept C106301342 @default.
- W2735990015 hasConcept C114614502 @default.
- W2735990015 hasConcept C118615104 @default.
- W2735990015 hasConcept C121332964 @default.
- W2735990015 hasConcept C127413603 @default.
- W2735990015 hasConcept C132954091 @default.
- W2735990015 hasConcept C134306372 @default.
- W2735990015 hasConcept C142730499 @default.
- W2735990015 hasConcept C154945302 @default.
- W2735990015 hasConcept C172294467 @default.
- W2735990015 hasConcept C188198153 @default.
- W2735990015 hasConcept C33923547 @default.
- W2735990015 hasConcept C39927690 @default.
- W2735990015 hasConcept C41008148 @default.
- W2735990015 hasConcept C41608201 @default.
- W2735990015 hasConcept C62520636 @default.
- W2735990015 hasConcept C66882249 @default.
- W2735990015 hasConcept C78519656 @default.
- W2735990015 hasConceptScore W2735990015C106301342 @default.
- W2735990015 hasConceptScore W2735990015C114614502 @default.
- W2735990015 hasConceptScore W2735990015C118615104 @default.
- W2735990015 hasConceptScore W2735990015C121332964 @default.
- W2735990015 hasConceptScore W2735990015C127413603 @default.
- W2735990015 hasConceptScore W2735990015C132954091 @default.
- W2735990015 hasConceptScore W2735990015C134306372 @default.
- W2735990015 hasConceptScore W2735990015C142730499 @default.
- W2735990015 hasConceptScore W2735990015C154945302 @default.
- W2735990015 hasConceptScore W2735990015C172294467 @default.
- W2735990015 hasConceptScore W2735990015C188198153 @default.
- W2735990015 hasConceptScore W2735990015C33923547 @default.
- W2735990015 hasConceptScore W2735990015C39927690 @default.
- W2735990015 hasConceptScore W2735990015C41008148 @default.
- W2735990015 hasConceptScore W2735990015C41608201 @default.
- W2735990015 hasConceptScore W2735990015C62520636 @default.
- W2735990015 hasConceptScore W2735990015C66882249 @default.
- W2735990015 hasConceptScore W2735990015C78519656 @default.
- W2735990015 hasLocation W27359900151 @default.
- W2735990015 hasOpenAccess W2735990015 @default.
- W2735990015 hasPrimaryLocation W27359900151 @default.
- W2735990015 hasRelatedWork W1498738848 @default.
- W2735990015 hasRelatedWork W1503942950 @default.
- W2735990015 hasRelatedWork W1529390611 @default.
- W2735990015 hasRelatedWork W156670682 @default.
- W2735990015 hasRelatedWork W1577469824 @default.
- W2735990015 hasRelatedWork W1594572592 @default.
- W2735990015 hasRelatedWork W173913035 @default.
- W2735990015 hasRelatedWork W1966566906 @default.
- W2735990015 hasRelatedWork W1972681985 @default.
- W2735990015 hasRelatedWork W2005104573 @default.
- W2735990015 hasRelatedWork W2016211693 @default.
- W2735990015 hasRelatedWork W2020082001 @default.
- W2735990015 hasRelatedWork W2071669687 @default.
- W2735990015 hasRelatedWork W2322605271 @default.
- W2735990015 hasRelatedWork W2951156862 @default.
- W2735990015 hasRelatedWork W2962980879 @default.
- W2735990015 hasRelatedWork W3013248645 @default.
- W2735990015 hasRelatedWork W3032916493 @default.
- W2735990015 hasRelatedWork W3043955613 @default.
- W2735990015 hasRelatedWork W3081736571 @default.
- W2735990015 isParatext "false" @default.
- W2735990015 isRetracted "false" @default.
- W2735990015 magId "2735990015" @default.