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$Measuring Triebel-Lizorkin fractional smoothness on domains in terms of first-order differences$

26 p, 678.3 KB

Measuring Triebel-Lizorkin fractional smoothness on domains in terms of first-order differences / Prats, Martí (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this note, we give equivalent characterizations for a fractional Triebel-Lizorkin space (Formula presented. ) in terms of first-order differences in a uniform domain (Formula presented. ). The characterization is valid for any positive, non-integer real smoothness (Formula presented. [...]
2019 - DOI (Digital Object Identifier)

10.1112/jlms.12225
Journal of the London Mathematical Society, Vol. 100, Issue 2 (October 2019) , p. 692-716

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19 p, 499.4 KB

Bifurcation of critical periods from Pleshkan's isochrones / Grau, Maite (Universitat de Lleida. Departament de Matemàtica) ; Villadelprat Yagüe, Jordi (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques)
Pleshkan proved in 1969 that, up to a linear transformation and a constant rescaling of time, there are four isochrones in the family of cubic centers with homogeneous nonlinearities ℓ3. In this paper we prove that if we perturb any of these isochrones inside ℓ3, then at most two critical periods bifurcate from its period annulus. [...]
2010 - DOI (Digital Object Identifier)

10.1112/jlms/jdp062
Journal of the London Mathematical Society, Vol. 81, Issue 1 (February 2010) , p. 142-160

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20 p, 347.6 KB

Absorbing sets and Baker domains for holomorphic maps / Barański, Krzysztof (University of Warsaw(Poland). Institute of Mathematics) ; Fagella Rabionet, Núria (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi) ; Jarque i Ribera, Xavier (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi) ; Karpinska, Boguslawa (Warsaw University of Technology(Poland). Faculty of Mathematics and Information Science)
We consider holomorphic maps f: U U for a hyperbolic domain U in the complex plane, such that the iterates of f converge to a boundary point of U. By a previous result of the authors, for such maps there exist nice absorbing domains W U. [...]
2014 - DOI (Digital Object Identifier)

10.1112/jlms/jdv016
Journal of the London Mathematical Society, Vol. 92 Núm. 1 (2014) , p. 144-162

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