Dabrowski, Damian - Search Results - UAB Digital Repository of Documents

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Articles, 2 records found Research literature, 1 records found

Articles	2 records found

32 p, 706.4 KB

An α-number characterization of Lp spaces on uniformly rectifiable sets / Azzam, Jonas (University of Edinburgh. School of Mathematics) ; Dąbrowski, Damian (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We give a characterization of Lp(σ) for uniformly rectifiable measures σ using Tolsa's α-numbers, by showing, for 1 < p < ∞ and f ∈ Lp(σ), that kfkLp(σ) ∼Z ∞0(αfσ(x, r) + |f|x,rασ(x, r))2drr12Lp(σ).
2023 - DOI (Digital Object Identifier)

10.5565/PUBLMAT6722313
Publicacions matemàtiques, Vol. 67 Núm. 2 (2023) , p. 819-850 (Articles)

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15 p, 584.1 KB

Characterization of Sobolev-Slobodeckij spaces using geometric curvature energies / Dąbrowski, Damian (University of Warsaw. Faculty of Mathematics, Informatics, and Mechanics)
We give a new characterization of Sobolev-Slobodeckij spaces W1+s,pfor n/p < 1+s, where n is the dimension of the domain. To achieve this we introduce a family of curvature energies inspired by the classical concept of integral Menger curvature. [...]
2019 - DOI (Digital Object Identifier)

10.5565/PUBLMAT6321907
Publicacions matemàtiques, Vol. 63 Núm. 2 (2019) , p. 663-677 (Articles)

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Research literature	1 records found

246 p, 1.7 MB

Rectifiability of Radon measures / Dąbrowski, Damian ; Tolsa Domènech, Xavier, dir. ; Universitat Autònoma de Barcelona. Departament de Matemàtiques
Aquesta tesi es dedica a l'estudi de mesures rectificables, de rectificabilitat quantitativa i, en menor grau, del límit dels operadors integrals singulars definits respecte a mesures amb creixement polinòmic.
Esta tesis está dedicada al estudio de medidas rectificables, rectificabilidad cuantitativa y, en menor grado, la acotación de operadores integrales singulares definidos respecto a medidas con crecimiento polinomial.
This thesis is dedicated to the study of rectifiable measures, quantitative rectifiability, and to a lesser degree, the boundedness of singular integral operators defined with respect to measures with polynomial growth.
2021

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3	Dąbrowski, Damian

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