Edit Profile (opens in new tab) Caetano, António M. Compute Distance To: Compute Author ID: caetano.antonio-m Published as: Caetano, António M.; Caetano, António; Caetano, A. M.; Caetano, A. Documents Indexed: 41 Publications since 1990 1 Contribution as Editor Co-Authors: 16 Co-Authors with 28 Joint Publications 166 Co-Co-Authors all top 5 Co-Authors 14 single-authored 5 Almeida, Alexandre 4 Gogatishvili, Amiran 4 Haroske, Dorothee D. 4 Lopes, Sofia O. 4 Opic, Bohumír 3 Domingues de Moura, Susana 2 Kempka, Henning 2 Leopold, Hans-Gerd 1 Bento, António J. G. 1 Carvalho, Abel 1 Farkas, Walter 1 Hewett, David P. 1 Moiola, Andrea 1 Neves, Júlio Severino 1 Seabra, Dina 1 Triebel, Hans all top 5 Serials 4 Journal of Functional Analysis 4 The Journal of Fourier Analysis and Applications 3 Journal of Approximation Theory 3 Mathematische Nachrichten 2 Studia Mathematica 2 Forum Mathematicum 2 Journal of Function Spaces and Applications 1 Journal of Mathematical Analysis and Applications 1 Control and Cybernetics 1 Czechoslovak Mathematical Journal 1 Dissertationes Mathematicae 1 Fundamenta Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Portugaliae Mathematica 1 Proceedings of the London Mathematical Society. Third Series 1 Zeitschrift für Analysis und ihre Anwendungen 1 Boletim da Sociedade Portuguesa de Matemática 1 Constructive Approximation 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Mathematical Inequalities & Applications 1 Revista Matemática Complutense 1 Acta Mathematica Sinica. English Series 1 Complex Variables and Elliptic Equations 1 Textos de Matemática. Série B 1 Banach Journal of Mathematical Analysis all top 5 Fields 36 Functional analysis (46-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 9 Measure and integration (28-XX) 9 Operator theory (47-XX) 6 Partial differential equations (35-XX) 2 Real functions (26-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 262 times in 148 Documents Cited by ▼ Year ▼ Sharp embeddings of Besov spaces involving only logarithmic smoothness. Zbl 1161.46017Caetano, António M.; Gogatishvili, Amiran; Opic, Bohumir 20 2008 About approximation numbers in function spaces. Zbl 0915.46026Caetano, António M. 18 1998 Local growth envelopes of spaces of generalized smoothness: The subcritical case. Zbl 1070.46020Caetano, António M.; Moura, Susana D. 18 2004 Local growth envelopes of spaces of generalized smoothness: the critical case. Zbl 1076.46025Caetano, António M.; Moura, Susana D. 18 2004 Atomic and molecular decompositions in variable exponent 2-microlocal spaces and applications. Zbl 1353.46024Almeida, Alexandre; Caetano, António 18 2016 Local growth envelopes of Besov spaces of generalized smoothness. Zbl 1119.46032Caetano, António M.; Farkas, Walter 16 2006 Continuity envelopes of spaces of generalised smoothness: a limiting case; embeddings and approximation numbers. Zbl 1079.46019Caetano, António M.; Haroske, Dorothee D. 12 2005 Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness. Zbl 1238.46024Caetano, António M.; Gogatishvili, Amiran; Opic, Bohumír 11 2011 On 2-microlocal spaces with all exponents variable. Zbl 1355.46034Almeida, Alexandre; Caetano, António 11 2016 Weyl numbers in function spaces. Zbl 0708.46036Caetano, António M. 10 1990 Weyl numbers in function spaces. II. Zbl 0788.46036Caetano, António M. 9 1991 Local growth envelopes of Triebel–Lizorkin spaces of generalized smoothness. Zbl 1122.46017Caetano, António M.; Leopold, Hans-Gerd 9 2006 Generalized Hardy spaces. Zbl 1204.42030Almeida, Alexandre; Caetano, António M. 9 2010 Approximation by functions of compact support in Besov-Triebel-Lizorkin spaces on irregular domains. Zbl 0985.46019Caetano, António M. 9 2000 On generalized Besov and Triebel-Lizorkin spaces of regular distributions. Zbl 1291.46031Caetano, António M.; Leopold, Hans-Gerd 8 2013 Weyl numbers in sequence spaces and sections of unit balls. Zbl 0785.46027Caetano, António M. 6 1992 Compactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces. Zbl 1432.46013Caetano, António; Gogatishvili, Amiran; Opic, Bohumír 6 2016 On the Hausdorff dimension of continuous functions belonging to Hölder and Besov spaces on fractal \(d\)-sets. Zbl 1253.28003Carvalho, Abel; Caetano, António 5 2012 Real interpolation of generalized Besov-Hardy spaces and applications. Zbl 1232.46029Almeida, Alexandre; Caetano, António 5 2011 Spectral theory for the fractal Laplacian in the context of \(h\)-sets. Zbl 1228.35157Caetano, António M.; Lopes, Sofia 4 2011 Sharp estimates of approximation numbers via growth envelopes. Zbl 1056.47016Caetano, António M.; Haroske, Dorothee D. 4 2003 A homogeneity property for Besov spaces. Zbl 1140.46314Caetano, António M.; Lopes, Sofia; Triebel, Hans 4 2007 Variable exponent Besov-Morrey spaces. Zbl 1445.46033Almeida, Alexandre; Caetano, António 4 2020 Compact embeddings of Besov spaces involving only slowly varying smoothness. Zbl 1249.46026Caetano, A.; Gogatishvili, A.; Opic, B. 3 2011 On fractals which are not so terrible. Zbl 1002.28010Caetano, António M. 3 2002 Variable exponent Triebel-Lizorkin-Morrey spaces. Zbl 1431.42034Caetano, António; Kempka, Henning 3 2020 Traces of Besov spaces on fractal \(h\)-sets and dichotomy results. Zbl 1350.46025Caetano, António M.; Haroske, Dorothee D. 3 2015 Homogeneity, non-smooth atoms and Besov spaces of generalised smoothness on quasi-metric spaces. Zbl 1172.46019Caetano, António M.; Lopes, Sofia 3 2009 Some domains where the eigenvalues of the Dirichlet Laplacian have non- power second term asymptotic estimates. Zbl 0744.35026Caetano, António M. 2 1991 The fractal Dirichlet Laplacian. Zbl 1254.28004Caetano, António M.; Lopes, Sofia 2 2011 Embeddings of Besov spaces on fractal \(h\)-sets. Zbl 1325.46038Caetano, António M.; Haroske, Dorothee D. 2 2015 Eigenvalue asymptotics of the Stokes operator for fractal domains. Zbl 0891.35108Caetano, António M. 2 1998 Growth envelopes of Besov spaces on fractal \(h\)-sets. Zbl 1273.46023Caetano, António M. 2 2013 Approximation by functions of compact support on irregular domains. Zbl 0965.46022Caetano, António M. 1 2000 On the type of convergence in atomic representations. Zbl 1236.46026Caetano, António 1 2011 Density results for Sobolev, Besov and Triebel-Lizorkin spaces on rough sets. Zbl 1475.46033Caetano, António M.; Hewett, David P.; Moiola, Andrea 1 2021 Density results for Sobolev, Besov and Triebel-Lizorkin spaces on rough sets. Zbl 1475.46033Caetano, António M.; Hewett, David P.; Moiola, Andrea 1 2021 Variable exponent Besov-Morrey spaces. Zbl 1445.46033Almeida, Alexandre; Caetano, António 4 2020 Variable exponent Triebel-Lizorkin-Morrey spaces. Zbl 1431.42034Caetano, António; Kempka, Henning 3 2020 Atomic and molecular decompositions in variable exponent 2-microlocal spaces and applications. Zbl 1353.46024Almeida, Alexandre; Caetano, António 18 2016 On 2-microlocal spaces with all exponents variable. Zbl 1355.46034Almeida, Alexandre; Caetano, António 11 2016 Compactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces. Zbl 1432.46013Caetano, António; Gogatishvili, Amiran; Opic, Bohumír 6 2016 Traces of Besov spaces on fractal \(h\)-sets and dichotomy results. Zbl 1350.46025Caetano, António M.; Haroske, Dorothee D. 3 2015 Embeddings of Besov spaces on fractal \(h\)-sets. Zbl 1325.46038Caetano, António M.; Haroske, Dorothee D. 2 2015 On generalized Besov and Triebel-Lizorkin spaces of regular distributions. Zbl 1291.46031Caetano, António M.; Leopold, Hans-Gerd 8 2013 Growth envelopes of Besov spaces on fractal \(h\)-sets. Zbl 1273.46023Caetano, António M. 2 2013 On the Hausdorff dimension of continuous functions belonging to Hölder and Besov spaces on fractal \(d\)-sets. Zbl 1253.28003Carvalho, Abel; Caetano, António 5 2012 Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness. Zbl 1238.46024Caetano, António M.; Gogatishvili, Amiran; Opic, Bohumír 11 2011 Real interpolation of generalized Besov-Hardy spaces and applications. Zbl 1232.46029Almeida, Alexandre; Caetano, António 5 2011 Spectral theory for the fractal Laplacian in the context of \(h\)-sets. Zbl 1228.35157Caetano, António M.; Lopes, Sofia 4 2011 Compact embeddings of Besov spaces involving only slowly varying smoothness. Zbl 1249.46026Caetano, A.; Gogatishvili, A.; Opic, B. 3 2011 The fractal Dirichlet Laplacian. Zbl 1254.28004Caetano, António M.; Lopes, Sofia 2 2011 On the type of convergence in atomic representations. Zbl 1236.46026Caetano, António 1 2011 Generalized Hardy spaces. Zbl 1204.42030Almeida, Alexandre; Caetano, António M. 9 2010 Homogeneity, non-smooth atoms and Besov spaces of generalised smoothness on quasi-metric spaces. Zbl 1172.46019Caetano, António M.; Lopes, Sofia 3 2009 Sharp embeddings of Besov spaces involving only logarithmic smoothness. Zbl 1161.46017Caetano, António M.; Gogatishvili, Amiran; Opic, Bohumir 20 2008 A homogeneity property for Besov spaces. Zbl 1140.46314Caetano, António M.; Lopes, Sofia; Triebel, Hans 4 2007 Local growth envelopes of Besov spaces of generalized smoothness. Zbl 1119.46032Caetano, António M.; Farkas, Walter 16 2006 Local growth envelopes of Triebel–Lizorkin spaces of generalized smoothness. Zbl 1122.46017Caetano, António M.; Leopold, Hans-Gerd 9 2006 Continuity envelopes of spaces of generalised smoothness: a limiting case; embeddings and approximation numbers. Zbl 1079.46019Caetano, António M.; Haroske, Dorothee D. 12 2005 Local growth envelopes of spaces of generalized smoothness: The subcritical case. Zbl 1070.46020Caetano, António M.; Moura, Susana D. 18 2004 Local growth envelopes of spaces of generalized smoothness: the critical case. Zbl 1076.46025Caetano, António M.; Moura, Susana D. 18 2004 Sharp estimates of approximation numbers via growth envelopes. Zbl 1056.47016Caetano, António M.; Haroske, Dorothee D. 4 2003 On fractals which are not so terrible. Zbl 1002.28010Caetano, António M. 3 2002 Approximation by functions of compact support in Besov-Triebel-Lizorkin spaces on irregular domains. Zbl 0985.46019Caetano, António M. 9 2000 Approximation by functions of compact support on irregular domains. Zbl 0965.46022Caetano, António M. 1 2000 About approximation numbers in function spaces. Zbl 0915.46026Caetano, António M. 18 1998 Eigenvalue asymptotics of the Stokes operator for fractal domains. Zbl 0891.35108Caetano, António M. 2 1998 Weyl numbers in sequence spaces and sections of unit balls. Zbl 0785.46027Caetano, António M. 6 1992 Weyl numbers in function spaces. II. Zbl 0788.46036Caetano, António M. 9 1991 Some domains where the eigenvalues of the Dirichlet Laplacian have non- power second term asymptotic estimates. Zbl 0744.35026Caetano, António M. 2 1991 Weyl numbers in function spaces. Zbl 0708.46036Caetano, António M. 10 1990 all cited Publications top 5 cited Publications all top 5 Cited by 145 Authors 17 Caetano, António M. 12 Haroske, Dorothee D. 11 Cobos, Fernando 10 Yang, Dachun 9 Dominguez, Oscar 9 Yuan, Wen 8 Domingues de Moura, Susana 7 Gogatishvili, Amiran 7 Neves, Júlio Severino 7 Opic, Bohumír 6 Almeida, Alexandre 6 Skrzypczak, Leszek 6 Vybíral, Jan 5 Schneider, Cornelia 5 Triebel, Hans 4 Sickel, Winfried 4 Xu, Jingshi 4 Zhuo, Ciqiang 3 Gonçalves, Helena F. 3 Hewett, David P. 3 Kempka, Henning 3 Kreit, Damien 3 Liu, Liguang 3 Nguyen, Van Kien 3 Nicolay, Samuel 3 Saibi, Khedoudj 3 Zhang, Shun 2 Barthe, Franck 2 Besoy, Blanca F. 2 Chen, Zhen-Qing 2 Dota, Alicja 2 Drihem, Douadi 2 Edmunds, David Eric 2 Fang, Gensun 2 Gil’, Michael Iosif 2 Górka, Przemysław 2 Lopes, Sofia O. 2 Mieth, Therese 2 Moiola, Andrea 2 Pick, Luboš 2 Piotrowski, Mariusz 2 Soto, Tomás 2 Vasil’eva, Anastasiya Andreevna 2 Wei, Haihua 2 Wu, Suqing 2 Yan, Xianjie 1 Ablé, Zobo Vincent de Paul 1 Angulo, José Miguel 1 Anh, Vo V. 1 Arias, Sergi 1 Arrieta, José M. 1 Azzouz, Noureddine 1 Bandaliev, Rovshan Alifaga ogly 1 Borbás, Edit 1 Brasseur, Julien 1 Bruè, Elia 1 Butaev, Almaz 1 Carvalho, Abel 1 Chandler-Wilde, Simon N. 1 Chen, Hua 1 Dahlke, Stephan 1 Darougi, Amina 1 del Campo, Ricardo 1 Eskenazis, Alexandros 1 Fang, Chenglong 1 Fernández-Cabrera, Luz M. 1 Fernández Carrión, Antonio 1 Feuto, Justin 1 Gąsiorowska, Alicja 1 Gibbs, Alison L. 1 Giraudo, Davide 1 Gol’dman, Mikhail L’vovich 1 Guliyev, Vagif Sabir 1 Guo, Weichao 1 Gurka, Petr 1 Harjulehto, Petteri 1 Hästö, Peter A. 1 He, Ziyi 1 Hebbache, Wafa 1 Heikkinen, Toni 1 Hencl, Stanislav 1 Honzík, Petr 1 Huang, Fanglun 1 Huang, Qingzhong 1 Ihnatsyeva, Lizaveta 1 Järvenpää, Esa 1 Järvenpää, Maarit 1 Käenmäki, Antti 1 Kolyada, Viktor Ivanovich 1 Koskela, Pekka 1 Kovacs, Jozsef 1 Kühn, Thomas 1 Kumagai, Takashi 1 Leopold, Hans-Gerd 1 Li, Aijun 1 Li, Ziwei 1 Liang, YiYu 1 Liu, Ruoyuan 1 Liu, Yin 1 Lukkari, Teemu ...and 45 more Authors all top 5 Cited in 69 Serials 17 Journal of Approximation Theory 11 Journal of Functional Analysis 10 Journal of Mathematical Analysis and Applications 9 Mathematische Nachrichten 7 Journal of Complexity 6 The Journal of Fourier Analysis and Applications 4 Revista Matemática Complutense 4 Acta Mathematica Sinica. English Series 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Science China. Mathematics 3 Journal of Function Spaces 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Proceedings of the American Mathematical Society 2 Constructive Approximation 2 The Journal of Geometric Analysis 2 Russian Journal of Mathematical Physics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Banach Journal of Mathematical Analysis 2 Annals of Functional Analysis 2 Analysis and Geometry in Metric Spaces 2 Open Mathematics 1 Analysis Mathematica 1 Lithuanian Mathematical Journal 1 Mathematical Notes 1 Studia Mathematica 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Annales Polonici Mathematici 1 Czechoslovak Mathematical Journal 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Numerical Functional Analysis and Optimization 1 Pacific Journal of Mathematics 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Real Analysis Exchange 1 Tohoku Mathematical Journal. Second Series 1 Advances in Applied Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Mathematica Hungarica 1 Discrete & Computational Geometry 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Glasnik Matematički. Serija III 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Stochastic Processes and their Applications 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Acta Mathematica Sinica. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Potential Analysis 1 Fractals 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Taiwanese Journal of Mathematics 1 Mathematical Inequalities & Applications 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Fractional Calculus & Applied Analysis 1 Journal of Mathematical Fluid Mechanics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Function Spaces and Applications 1 Mediterranean Journal of Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Fixed Point Theory and Applications 1 GEM - International Journal on Geomathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Eurasian Mathematical Journal 1 Advances in Nonlinear Analysis 1 Advances in Operator Theory all top 5 Cited in 20 Fields 119 Functional analysis (46-XX) 48 Harmonic analysis on Euclidean spaces (42-XX) 30 Operator theory (47-XX) 16 Measure and integration (28-XX) 15 Approximations and expansions (41-XX) 14 Partial differential equations (35-XX) 13 Real functions (26-XX) 7 Potential theory (31-XX) 7 Probability theory and stochastic processes (60-XX) 4 Convex and discrete geometry (52-XX) 3 Functions of a complex variable (30-XX) 2 Numerical analysis (65-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) Citations by Year