António M. Caetano

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All published works

Action	Title	Year	Authors
+	Integral equation methods for acoustic scattering by fractals	2023	António M. Caetano Simon N. Chandler‐Wilde Xavier Claeys Andrew Gibbs David P. Hewett Andrea Moiola
+	A Hausdorff-measure boundary element method for acoustic scattering by fractal screens	2022	António M. Caetano Simon N. Chandler‐Wilde Andrew Gibbs David P. Hewett Andrea Moiola
+ PDF Chat	Density results for Sobolev, Besov and Triebel–Lizorkin spaces on rough sets	2021	António M. Caetano David P. Hewett Andrea Moiola
+ PDF Chat	Decompositions with Atoms and Molecules for Variable Exponent Triebel–Lizorkin–Morrey Spaces	2020	António M. Caetano Henning Kempka
+ PDF Chat	Variable Exponent Besov–Morrey Spaces	2020	Alexandre Almeida António M. Caetano
+	Variable exponent Triebel-Lizorkin-Morrey spaces	2019	António M. Caetano Henning Kempka
+ PDF Chat	Compactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces	2016	António M. Caetano Амиран Гогатишвили Bohumı́r Opic
+ PDF Chat	On 2-microlocal spaces with all exponents variable	2016	Alexandre Almeida António M. Caetano
+ PDF Chat	Traces of Besov spaces on fractal $h$-sets and dichotomy results	2016	António M. Caetano Dorothee D. Haroske
+	Atomic and molecular decompositions in variable exponent 2-microlocal spaces and applications	2015	Alexandre Almeida António M. Caetano
+	Embeddings of Besov Spaces on fractal h-sets	2015	António M. Caetano Dorothee D. Haroske
+ PDF Chat	Embeddings of Besov spaces on fractal $h$-sets	2015	António M. Caetano Dorothee D. Haroske
+	Compactness in quasi-Banach function spaces ∗	2013	António M. Caetano Амиран Гогатишвили Bohumı́r Opic
+	On generalized Besov and Triebel–Lizorkin spaces of regular distributions	2013	António M. Caetano Hans‐Gerd Leopold
+	On generalized Besov and Triebel-Lizorkin spaces of regular distributions	2012	António M. Caetano Hans‐Gerd Leopold
+	Growth envelopes of Besov spaces on fractal<i>h</i>‐sets	2012	António M. Caetano
+	Erratum to “Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness” [J. Approx. Theory 163 (2011) 1373–1399]	2012	António M. Caetano Амиран Гогатишвили Bohumı́r Opic
+ PDF Chat	Compact embeddings of besov spaces involving only slowly varying smoothness	2011	António M. Caetano Амиран Гогатишвили Bohumı́r Opic
+ PDF Chat	On the Hausdorff Dimension of Continuous Functions Belonging to Hölder and Besov Spaces on Fractal d-Sets	2011	Abel Carvalho António M. Caetano
+	Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness	2011	António M. Caetano Амиран Гогатишвили Bohumı́r Opic
+	On the type of convergence in atomic representations	2011	António M. Caetano
+	On the Hausdorff dimension of continuous functions belonging to H\"older and Besov spaces on fractal d-sets	2010	António M. Caetano Abel Carvalho
+	Spectral theory for the fractal Laplacian in the context of h-sets	2010	António M. Caetano Sofia Lopes
+	Real Interpolation of Generalized Besov-Hardy Spaces and Applications	2010	Alexandre Almeida António M. Caetano
+	Generalized Hardy spaces	2010	Alexandre Almeida António M. Caetano
+	The fractal Dirichlet Laplacian	2010	António M. Caetano Sofia Lopes
+ PDF Chat	Homogeneity, non-smooth atoms and Besov spaces of generalised smoothness on quasi-metric spaces	2009	António M. Caetano Sofia Lopes
+	Sharp embeddings of Besov spaces involving only logarithmic smoothness	2008	António M. Caetano Амиран Гогатишвили Bohumı́r Opic
+ PDF Chat	A homogeneity property for Besov spaces	2007	António M. Caetano Sofia Lopes Hans Triebel
+ PDF Chat	Local Growth Envelopes of Besov Spaces of Generalized Smoothness	2006	António M. Caetano Walter Farkas
+	Local Growth Envelopes of Triebel-Lizorkin Spaces of Generalized Smoothness	2006	António M. Caetano Hans‐Gerd Leopold
+ PDF Chat	Continuity envelopes of spaces of generalised smoothness: a limiting case; embeddings and approximation numbers	2005	António M. Caetano Dorothee D. Haroske
+	Two-dimensional stable Lavrentiev phenomenon with and without boundary conditions	2005	António M. Caetano Andrey Sarychev Dina Seabra
+ PDF Chat	Local growth envelopes of spaces of generalized smoothness: the subcriticalcase	2004	António M. Caetano Susana D. Moura
+ PDF Chat	Local growth envelopes of spaces of generalized smoothness: the critical case	2004	António M. Caetano Susana D. Moura
+	Sharp Estimates of Approximation Numbers via Growth Envelopes	2003	António M. Caetano Dorothee D. Haroske
+ PDF Chat	On fractals which are not so terrible	2002	António M. Caetano
+ PDF Chat	Approximation by functions of compact support in Besov-Triebel-Lizorkin spaces on irregular domains	2000	António M. Caetano
+	About Approximation Numbers in Function Spaces	1998	António M. Caetano
+	Eigenvalue Asymptotics of the Stokes Operator for Fractal Domains	1998	António M. Caetano
+	Weyl numbers in sequence spaces and sections of unit balls	1992	António M. Caetano
+	Some Domains Where the Eigenvalues of the Dirichlet Laplacian Have Non-Power Second Term Asymptotic Estimates	1991	António M. Caetano
+	Weyl Numbers in Function Spaces II	1991	António M. Caetano
+	Weyl Numbers in Function Spaces	1990	António M. Caetano

Common Coauthors

Coauthor	Papers Together
Bohumı́r Opic	6
Амиран Гогатишвили	6
Alexandre Almeida	5
Dorothee D. Haroske	5
Sofia Lopes	4
Hans‐Gerd Leopold	3
Andrea Moiola	3
David P. Hewett	3
Abel Carvalho	2
Susana D. Moura	2
Henning Kempka	2
Simon N. Chandler‐Wilde	2
Xavier Claeys	1
Dina Seabra	1
Andrew Gibbs	1
Andrew Gibbs	1
Hans Triebel	1
Andrey Sarychev	1
Walter Farkas	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Theory of function spaces	1983	Hans Triebel	23
+ PDF Chat	Characterisations of function spaces of generalised smoothness	2004	Walter Farkas Hans‐Gerd Leopold	19
+	Theory of Function Spaces	1983	Hans Triebel	19
+	Theory of Function Spaces III	2006	Hans Triebel	15
+ PDF Chat	Function spaces of generalised smoothness	2001	Susana D. Moura	14
+	Interpolation of Operators	1988	Curtis D. Bennett M Sharpley	13
+	Fractals and Spectra	1997	Hans Triebel	13
+	Theory of Function Spaces II	1992	Hans Triebel	12
+ PDF Chat	Local Growth Envelopes of Besov Spaces of Generalized Smoothness	2006	António M. Caetano Walter Farkas	11
+	Spaces of Functions of Generalized Smoothness	1987	G A Kaljabin П. И. Лизоркин	11
+	Function spaces on subsets of Rn	1984	Alf Jonsson Hans Wallin Jaak Peetre	11
+ PDF Chat	Local growth envelopes of spaces of generalized smoothness: the subcriticalcase	2004	António M. Caetano Susana D. Moura	10
+	Spectral theory for isotropic fractal drums	1998	D. E. Edmunds Hans Triebel	10
+	Applications of interpolation with a function parameter to Lorentz, Sobolev and besov spaces	1984	Claude Merucci	9
+	Hardy-Sobolev spaces and Besov spaces with a function parameter	1988	Fernando Cobos Dicesar Lass Fernandez	9
+ PDF Chat	Local growth envelopes of spaces of generalized smoothness: the critical case	2004	António M. Caetano Susana D. Moura	8
+	Tailored Besov spaces and <i>h</i>‐sets	2003	Michele Bricchi	6
+	Wavelet bases in generalized Besov spaces	2004	Alexandre Almeida	6
+	Function Spaces, Entropy Numbers, Differential Operators	1996	D. E. Edmunds H. Triebel	6
+	Recent developments in the theory of Lorentz spaces and weighted inequalities	2007	Marı́a J. Carro José A. Raposo Javier Soria	6
+	Complements and Results on h-sets	2003	Michele Bricchi	6
+ PDF Chat	Lebesgue and Sobolev Spaces with Variable Exponents	2015	Lars Diening Petteri Harjulehto Peter Hästö Michael Růžička	5
+ PDF Chat	Spaces of generalized smoothness on h-sets and related Dirichlet forms	2006	Victoria Knopova Martina Zähle	5
+	Geometry of Sets and Measures in Euclidean Spaces	1995	Pertti Mattila	5
+	Lebesgue and Sobolev Spaces with Variable Exponents	2011	Lars Diening Petteri Harjulehto Peter Hästö Michael Růžička	5
+	Variable Lebesgue Spaces	2013	David Cruz-Uribe Alberto Fıorenza	5
+ PDF Chat	On spaces $L^{p(x)}$ and $W^{k, p(x)}$	1991	Ondrej Kováčik Jiří Rákosník	5
+	Optimal Sobolev Imbeddings Involving Rearrangement-Invariant Quasinorms	2000	D. E. Edmunds Ron Kerman Luboš Pick	5
+	Spectral theory for the fractal Laplacian in the context of h-sets	2010	António M. Caetano Sofia Lopes	4
+	Envelopes and Sharp Embeddings of Function Spaces	2006	Dorothee D. Haroske	4
+	Embeddings and entropy numbers in Besov spaces of generalized smoothness	2000	Hans‐Gerd Leopold	4
+	Function spaces of variable smoothness and integrability	2009	Lars Diening Peter Hästö Svetlana Roudenko	4
+	Existence and Properties of ℎ-Sets	2002	Michele Bricchi	4
+	Sharp embeddings of Bessel potential spaces with logarithmic smoothness	2003	Bohumı́r Opic Walter Trebels	4
+ PDF Chat	Complements on Growth Envelopes of Spaces with Generalized Smoothness in the Sub-Critical Case	2003	Michele Bricchi Susana D. Moura	4
+	The geometry of fractal sets	1985	K. J. Falconer	4
+ PDF Chat	On 2-microlocal spaces with all exponents variable	2016	Alexandre Almeida António M. Caetano	4
+ PDF Chat	Lorentz–Karamata spaces, Bessel and Riesz potentials and embeddings	2002	Júlio S. Neves	4
+	Function Spaces and Potential Theory	1996	David R. Adams Lars Inge Hedberg	4
+ PDF Chat	Continuity envelopes of spaces of generalised smoothness: a limiting case; embeddings and approximation numbers	2005	António M. Caetano Dorothee D. Haroske	4
+ PDF Chat	2-Microlocal Besov and Triebel-Lizorkin Spaces of Variable Integrability	2009	Henning Kempka	4
+	Atomic and molecular decompositions in variable exponent 2-microlocal spaces and applications	2015	Alexandre Almeida António M. Caetano	4
+	Besov spaces with variable smoothness and integrability	2009	Alexandre Almeida Peter Hästö	4
+ PDF Chat	Sharp Embeddings of Besov Spaces with Logarithmic Smoothness	2005	Petr Gurka Bohumı́r Opic	4
+	Besov spaces and the Laplacian on fractal H-sets	2009	Maria Sofia Fernandes de Pinho Lopes	4
+ PDF Chat	On spaces of Triebel—Lizorkin type	1975	Jaak Peetre	3
+	Sharp embeddings of Besov-type spaces	2006	Petr Gurka Bohumı́r Opic	3
+	Local Growth Envelopes of Triebel-Lizorkin Spaces of Generalized Smoothness	2006	António M. Caetano Hans‐Gerd Leopold	3
+	Intrinsic atomic characterizations of function spaces on domains	1996	Hans Triebel Heike Winkelvoß	3
+ PDF Chat	Embeddings and Duality Theorems for Weak Classical Lorentz Spaces	2006	Амиран Гогатишвили Luboš Pick	3