Výsledky vyhledávání - "Blanca F. Besoy"

Traces of some weighted function spaces and related non‐standard real interpolation of Besov spaces

Autor: Blanca F. Besoy, Dorothee D. Haroske, Hans Triebel

Publikováno v: Mathematische Nachrichten. 295:1669-1689

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0d726ecb5e0e8c040ed89c850c9281f4
https://doi.org/10.1002/mana.202000435

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Associate spaces of logarithmic interpolation spaces and generalized Lorentz–Zygmund spaces

Autor: Fernando Cobos, Luz M. Fernández Cabrera, Blanca F. Besoy

Publikováno v: E-Prints Complutense. Archivo Institucional de la UCM
instname
E-Prints Complutense: Archivo Institucional de la UCM
Universidad Complutense de Madrid

We determine the associate space of the logarithmic interpolation space (X0, X1)1,q,A where X0 and X1 are Banach function spaces over a σ-finite measure space (Ω, µ). Particularizing the results for the case of the couple (L1, L∞) over a non-at

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e025367d55ac17c7deb2a8d6d66377b4
https://doi.org/10.5186/aasfm.2020.4525

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On compactness theorems for logarithmic interpolation methods

Autor: Blanca F. Besoy

Publikováno v: E-Prints Complutense. Archivo Institucional de la UCM
instname
E-Prints Complutense: Archivo Institucional de la UCM
Universidad Complutense de Madrid

Let (A0;A1) be a Banach couple, (B0;B1) a quasi-Banach couple, 0 < q B0 is bounded and T : A1 -> B1 is compact, then the interpolated operator by the logarithmic method T : (A0,A1)1;q;A -> (B0;B1)1;q;A is compact too. This result allows the extension

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d5ebf0aeb9a1921f0d4f999a09f2658e
https://doi.org/10.4064/bc119-2

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On function spaces of Lorentz–Sobolev type

Autor: Fernando Cobos, Hans Triebel, Blanca F. Besoy

Publikováno v: E-Prints Complutense. Archivo Institucional de la UCM
instname
E-Prints Complutense: Archivo Institucional de la UCM
Universidad Complutense de Madrid

We work with Triebel–Lizorkin spaces $$F_{q}^{s}L_{p,r}({\mathbb {R}}^{n})$$ and Besov spaces $$B_{q}^{s} L_{p,r}({\mathbb {R}}^{n})$$ with Lorentz smoothness. Using their characterizations by real interpolation we show how to transfer a number of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::773b07c2b8b1d41bf51533fb40311970
https://eprints.ucm.es/id/eprint/64866/1/cobos_onfunction.pdf

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On the Structure of a Limit Class of Logarithmic Interpolation Spaces

Autor: Luz M. Fernández-Cabrera, Fernando Cobos, Blanca F. Besoy

Publikováno v: Mediterranean Journal of Mathematics. 17

We investigate the interpolation spaces $$\left( A_{0}, A_{1}\right) _{1,\infty , (0, \alpha _{\infty })}$$ formed by all $$ a \in A_{0}+A_{1}$$ , having a finite norm: $$\begin{aligned} {}\left\Vert a \right\Vert _{\left( A_{0}, A_{1}\right) _{1,\in

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::358274433888f0e2133418ec55453b48
https://doi.org/10.1007/s00009-020-01602-7

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The equivalence theorem for logarithmic interpolation spaces in the quasi-Banach case

Autor: Fernando Cobos, Blanca F. Besoy

Publikováno v: E-Prints Complutense. Archivo Institucional de la UCM
instname
E-Prints Complutense: Archivo Institucional de la UCM
Universidad Complutense de Madrid

We study the description by means of the J-functional of logarithmic interpolation spaces (A0, A1) 1, q, A in the category of the p-normed quasi-Banach couples (0 < p ≤ 1). When (A0, A1) is a Banach couple, it is known that the description changes

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d1e14435682194b43e6e05f4a437fee

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Interpolation of the measure of non-compactness of bilinear operators among quasi-Banach spaces

Autor: Fernando Cobos, Blanca F. Besoy

Publikováno v: E-Prints Complutense: Archivo Institucional de la UCM
Universidad Complutense de Madrid
E-Prints Complutense. Archivo Institucional de la UCM
instname

Working in the setting of quasi-Banach couples, we establish a formula for the measure of non-compactness of bilinear operators interpolated by the general real method. The result applies to the real method and to the real method with a function para

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3ec0dbf3c87570ff9b5e743220504d6f
https://eprints.ucm.es/id/eprint/54729/1/Cobos112.pdf

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Logarithmic interpolation methods and measure of non-compactness

Autor: Blanca F. Besoy, Fernando Cobos

Publikováno v: E-Prints Complutense. Archivo Institucional de la UCM
instname
E-Prints Complutense: Archivo Institucional de la UCM
Universidad Complutense de Madrid

We derive interpolation formulae for the measure of non-compactness of operators interpolated by logarithmic methods with $\theta = 0,1$ between quasi-Banach spaces. Applications are given to operators between Lorentz–Zygmund spaces.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d5a29e104b193ad20b08a5fd7964f96e
https://eprints.ucm.es/56903/

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