Caetano, António M.; Hewett, David P.; Moiola, Andrea Density results for Sobolev, Besov and Triebel-Lizorkin spaces on rough sets. (English) Zbl 1475.46033 J. Funct. Anal. 281, No. 3, Article ID 109019, 43 p. (2021). MSC: 46E35 28A80 PDFBibTeX XMLCite \textit{A. M. Caetano} et al., J. Funct. Anal. 281, No. 3, Article ID 109019, 43 p. (2021; Zbl 1475.46033) Full Text: DOI arXiv
Caetano, António; Kempka, Henning Decompositions with atoms and molecules for variable exponent Triebel-Lizorkin-Morrey spaces. (English) Zbl 1473.46040 Constr. Approx. 53, No. 1, 201-234 (2021). Reviewer: Hans Triebel (Jena) MSC: 46E35 46E30 42B25 PDFBibTeX XMLCite \textit{A. Caetano} and \textit{H. Kempka}, Constr. Approx. 53, No. 1, 201--234 (2021; Zbl 1473.46040) Full Text: DOI arXiv
Caetano, António; Kempka, Henning Variable exponent Triebel-Lizorkin-Morrey spaces. (English) Zbl 1431.42034 J. Math. Anal. Appl. 484, No. 1, Article ID 123712, 17 p. (2020). MSC: 42B25 42B35 46E35 42A85 PDFBibTeX XMLCite \textit{A. Caetano} and \textit{H. Kempka}, J. Math. Anal. Appl. 484, No. 1, Article ID 123712, 17 p. (2020; Zbl 1431.42034) Full Text: DOI arXiv
Almeida, Alexandre; Caetano, António Variable exponent Besov-Morrey spaces. (English) Zbl 1445.46033 J. Fourier Anal. Appl. 26, No. 1, Paper No. 5, 42 p. (2020). Reviewer: Humberto Rafeiro (Al Ain) MSC: 46E35 46E30 42B25 PDFBibTeX XMLCite \textit{A. Almeida} and \textit{A. Caetano}, J. Fourier Anal. Appl. 26, No. 1, Paper No. 5, 42 p. (2020; Zbl 1445.46033) Full Text: DOI arXiv
Caetano, António; Gogatishvili, Amiran; Opic, Bohumír Compactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces. (English) Zbl 1432.46013 Proc. R. Soc. Edinb., Sect. A, Math. 146, No. 5, 905-927 (2016). MSC: 46E30 46E35 46B42 46B50 46A16 PDFBibTeX XMLCite \textit{A. Caetano} et al., Proc. R. Soc. Edinb., Sect. A, Math. 146, No. 5, 905--927 (2016; Zbl 1432.46013) Full Text: DOI arXiv
Almeida, Alexandre; Caetano, António On 2-microlocal spaces with all exponents variable. (English) Zbl 1355.46034 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 135, 97-119 (2016). MSC: 46E35 46E30 42B25 PDFBibTeX XMLCite \textit{A. Almeida} and \textit{A. Caetano}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 135, 97--119 (2016; Zbl 1355.46034) Full Text: DOI arXiv
Almeida, Alexandre; Caetano, António Atomic and molecular decompositions in variable exponent 2-microlocal spaces and applications. (English) Zbl 1353.46024 J. Funct. Anal. 270, No. 5, 1888-1921 (2016). MSC: 46E35 46E30 42B25 PDFBibTeX XMLCite \textit{A. Almeida} and \textit{A. Caetano}, J. Funct. Anal. 270, No. 5, 1888--1921 (2016; Zbl 1353.46024) Full Text: DOI arXiv
Caetano, António M.; Haroske, Dorothee D. Traces of Besov spaces on fractal \(h\)-sets and dichotomy results. (English) Zbl 1350.46025 Stud. Math. 231, No. 2, 117-147 (2015). Reviewer: Hans Triebel (Jena) MSC: 46E35 28A80 PDFBibTeX XMLCite \textit{A. M. Caetano} and \textit{D. D. Haroske}, Stud. Math. 231, No. 2, 117--147 (2015; Zbl 1350.46025) Full Text: DOI arXiv
Caetano, António M.; Haroske, Dorothee D. Embeddings of Besov spaces on fractal \(h\)-sets. (English) Zbl 1325.46038 Banach J. Math. Anal. 9, No. 4, 259-295 (2015). Reviewer: Hans Triebel (Jena) MSC: 46E35 28A80 PDFBibTeX XMLCite \textit{A. M. Caetano} and \textit{D. D. Haroske}, Banach J. Math. Anal. 9, No. 4, 259--295 (2015; Zbl 1325.46038) Full Text: DOI arXiv Euclid
Caetano, António M.; Leopold, Hans-Gerd On generalized Besov and Triebel-Lizorkin spaces of regular distributions. (English) Zbl 1291.46031 J. Funct. Anal. 264, No. 12, 2676-2703 (2013). Reviewer: Hans Triebel (Jena) MSC: 46E35 42B35 PDFBibTeX XMLCite \textit{A. M. Caetano} and \textit{H.-G. Leopold}, J. Funct. Anal. 264, No. 12, 2676--2703 (2013; Zbl 1291.46031) Full Text: DOI arXiv
Caetano, António M. Growth envelopes of Besov spaces on fractal \(h\)-sets. (English) Zbl 1273.46023 Math. Nachr. 286, No. 5-6, 550-568 (2013). Reviewer: Hans Triebel (Jena) MSC: 46E35 28A80 PDFBibTeX XMLCite \textit{A. M. Caetano}, Math. Nachr. 286, No. 5--6, 550--568 (2013; Zbl 1273.46023) Full Text: DOI
Carvalho, Abel; Caetano, António On the Hausdorff dimension of continuous functions belonging to Hölder and Besov spaces on fractal \(d\)-sets. (English) Zbl 1253.28003 J. Fourier Anal. Appl. 18, No. 2, 386-409 (2012). Reviewer: Stéphane Seuret (Creteil) MSC: 28A78 28A80 26A16 42C40 46E35 PDFBibTeX XMLCite \textit{A. Carvalho} and \textit{A. Caetano}, J. Fourier Anal. Appl. 18, No. 2, 386--409 (2012; Zbl 1253.28003) Full Text: DOI arXiv
Caetano, A.; Gogatishvili, A.; Opic, B. Compact embeddings of Besov spaces involving only slowly varying smoothness. (English) Zbl 1249.46026 Czech. Math. J. 61, No. 4, 923-940 (2011). MSC: 46E35 46E30 PDFBibTeX XMLCite \textit{A. Caetano} et al., Czech. Math. J. 61, No. 4, 923--940 (2011; Zbl 1249.46026) Full Text: DOI EuDML Link
Caetano, António On the type of convergence in atomic representations. (English) Zbl 1236.46026 Complex Var. Elliptic Equ. 56, No. 10-11, 875-883 (2011). MSC: 46E35 42C40 42B35 PDFBibTeX XMLCite \textit{A. Caetano}, Complex Var. Elliptic Equ. 56, No. 10--11, 875--883 (2011; Zbl 1236.46026) Full Text: DOI
Caetano, António M.; Gogatishvili, Amiran; Opic, Bohumír Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness. (English) Zbl 1238.46024 J. Approx. Theory 163, No. 10, 1373-1399 (2011). Reviewer: Yang Dachun (Beijing) MSC: 46E35 46E30 PDFBibTeX XMLCite \textit{A. M. Caetano} et al., J. Approx. Theory 163, No. 10, 1373--1399 (2011; Zbl 1238.46024) Full Text: DOI
Almeida, Alexandre; Caetano, António Real interpolation of generalized Besov-Hardy spaces and applications. (English) Zbl 1232.46029 J. Fourier Anal. Appl. 17, No. 4, 691-719 (2011). Reviewer: Georgi E. Karadzhov (Sofia) MSC: 46E35 42C40 42B30 46M35 35S05 PDFBibTeX XMLCite \textit{A. Almeida} and \textit{A. Caetano}, J. Fourier Anal. Appl. 17, No. 4, 691--719 (2011; Zbl 1232.46029) Full Text: DOI
Caetano, António M.; Lopes, Sofia The fractal Dirichlet Laplacian. (English) Zbl 1254.28004 Rev. Mat. Complut. 24, No. 1, 189-209 (2011). MSC: 28A80 35J25 46E35 47F05 PDFBibTeX XMLCite \textit{A. M. Caetano} and \textit{S. Lopes}, Rev. Mat. Complut. 24, No. 1, 189--209 (2011; Zbl 1254.28004) Full Text: DOI
Caetano, António M.; Lopes, Sofia Spectral theory for the fractal Laplacian in the context of \(h\)-sets. (English) Zbl 1228.35157 Math. Nachr. 284, No. 1, 5-38 (2011). Reviewer: Gianfranco Bottaro (Genova) MSC: 35P15 28A80 35J70 46E35 47F05 PDFBibTeX XMLCite \textit{A. M. Caetano} and \textit{S. Lopes}, Math. Nachr. 284, No. 1, 5--38 (2011; Zbl 1228.35157) Full Text: DOI
Caetano, António M.; Lopes, Sofia Homogeneity, non-smooth atoms and Besov spaces of generalised smoothness on quasi-metric spaces. (English) Zbl 1172.46019 Diss. Math. 460, 44 p. (2009). Reviewer: Hans Triebel (Jena) MSC: 46E35 43A85 28A80 PDFBibTeX XMLCite \textit{A. M. Caetano} and \textit{S. Lopes}, Diss. Math. 460, 44~pp. (2009; Zbl 1172.46019) Full Text: DOI
Caetano, António M.; Gogatishvili, Amiran; Opic, Bohumir Sharp embeddings of Besov spaces involving only logarithmic smoothness. (English) Zbl 1161.46017 J. Approx. Theory 152, No. 2, 188-214 (2008). Reviewer: Dorothee Haroske (Jena) MSC: 46E35 46E30 26D10 PDFBibTeX XMLCite \textit{A. M. Caetano} et al., J. Approx. Theory 152, No. 2, 188--214 (2008; Zbl 1161.46017) Full Text: DOI
Caetano, António M.; Lopes, Sofia; Triebel, Hans A homogeneity property for Besov spaces. (English) Zbl 1140.46314 J. Funct. Spaces Appl. 5, No. 2, 123-132 (2007). MSC: 46E35 PDFBibTeX XMLCite \textit{A. M. Caetano} et al., J. Funct. Spaces Appl. 5, No. 2, 123--132 (2007; Zbl 1140.46314) Full Text: DOI
Caetano, António M.; Farkas, Walter Local growth envelopes of Besov spaces of generalized smoothness. (English) Zbl 1119.46032 Z. Anal. Anwend. 25, No. 3, 265-298 (2006). Reviewer: Yang Dachun (Beijing) MSC: 46E35 PDFBibTeX XMLCite \textit{A. M. Caetano} and \textit{W. Farkas}, Z. Anal. Anwend. 25, No. 3, 265--298 (2006; Zbl 1119.46032) Full Text: DOI
Caetano, António M.; Leopold, Hans-Gerd Local growth envelopes of Triebel–Lizorkin spaces of generalized smoothness. (English) Zbl 1122.46017 J. Fourier Anal. Appl. 12, No. 4, 427-445 (2006). Reviewer: Yanchang Han (Guangzhou) MSC: 46E35 42B35 PDFBibTeX XMLCite \textit{A. M. Caetano} and \textit{H.-G. Leopold}, J. Fourier Anal. Appl. 12, No. 4, 427--445 (2006; Zbl 1122.46017) Full Text: DOI
Caetano, António M.; Haroske, Dorothee D. Continuity envelopes of spaces of generalised smoothness: a limiting case; embeddings and approximation numbers. (English) Zbl 1079.46019 J. Funct. Spaces Appl. 3, No. 1, 33-71 (2005). MSC: 46E35 41A46 47B06 PDFBibTeX XMLCite \textit{A. M. Caetano} and \textit{D. D. Haroske}, J. Funct. Spaces Appl. 3, No. 1, 33--71 (2005; Zbl 1079.46019) Full Text: DOI
Caetano, António M.; Moura, Susana D. Local growth envelopes of spaces of generalized smoothness: the critical case. (English) Zbl 1076.46025 Math. Inequal. Appl. 7, No. 4, 573-606 (2004). Reviewer: Meng Wang (Hangzhou) MSC: 46E35 PDFBibTeX XMLCite \textit{A. M. Caetano} and \textit{S. D. Moura}, Math. Inequal. Appl. 7, No. 4, 573--606 (2004; Zbl 1076.46025) Full Text: DOI
Caetano, António M.; Moura, Susana D. Local growth envelopes of spaces of generalized smoothness: The subcritical case. (English) Zbl 1070.46020 Math. Nachr. 273, 43-57 (2004). MSC: 46E35 PDFBibTeX XMLCite \textit{A. M. Caetano} and \textit{S. D. Moura}, Math. Nachr. 273, 43--57 (2004; Zbl 1070.46020) Full Text: DOI
Caetano, António M.; Haroske, Dorothee D. Sharp estimates of approximation numbers via growth envelopes. (English) Zbl 1056.47016 Haroske, Dorothee (ed.) et al., Function spaces, differential operators and nonlinear analysis. The Hans Triebel anniversary volume. Based on the lectures given at the international conference on function spaces, differential operators and nonlinear analysis, FSDONA-01, Teistungen, Germany, June 28–July 4, 2001, in honor of the 65th birthday of H. J. Triebel. Basel: Birkhäuser (ISBN 3-7643-6935-3/hbk). 237-244 (2003). Reviewer: Werner Linde (Jena) MSC: 47B06 46E35 PDFBibTeX XMLCite \textit{A. M. Caetano} and \textit{D. D. Haroske}, in: Function spaces, differential operators and nonlinear analysis. The Hans Triebel anniversary volume. Based on the lectures given at the international conference on function spaces, differential operators and nonlinear analysis, FSDONA-01, Teistungen, Germany, June 28--July 4, 2001, in honor of the 65th birthday of H. J. Triebel. Basel: Birkhäuser. 237--244 (2003; Zbl 1056.47016)
Caetano, António M. Approximation by functions of compact support on irregular domains. (English) Zbl 0965.46022 Mustonen, Vesa (ed.) et al., Function spaces, differential operators and nonlinear analysis. Proceedings of the conference, FSDONA-99, Syöte, Finland, June 10-16, 1999. Prague: Mathematical Institute of the Academy of Sciences of the Czech Republic. 35-40 (2000). MSC: 46E35 PDFBibTeX XMLCite \textit{A. M. Caetano}, in: Function spaces, differential operators and nonlinear analysis. Proceedings of the conference, FSDONA-99, Syöte, Finland, June 10--16, 1999. Prague: Mathematical Institute of the Academy of Sciences of the Czech Republic. 35--40 (2000; Zbl 0965.46022)
Caetano, António M. Approximation by functions of compact support in Besov-Triebel-Lizorkin spaces on irregular domains. (English) Zbl 0985.46019 Stud. Math. 142, No. 1, 47-63 (2000). Reviewer: Josef Wloka (Kiel) MSC: 46E35 PDFBibTeX XMLCite \textit{A. M. Caetano}, Stud. Math. 142, No. 1, 47--63 (2000; Zbl 0985.46019) Full Text: DOI EuDML
Caetano, A. M. Entropy numbers of embeddings between logarithmic Sobolev spaces. (English) Zbl 0974.46037 Port. Math. 57, No. 3, 355-379 (2000). Reviewer: Walter Farkas (München) MSC: 46E35 47B06 PDFBibTeX XMLCite \textit{A. M. Caetano}, Port. Math. 57, No. 3, 355--379 (2000; Zbl 0974.46037) Full Text: EuDML
Caetano, António M. About approximation numbers in function spaces. (English) Zbl 0915.46026 J. Approximation Theory 94, No. 3, 383-395 (1998). Reviewer: H.Triebel (Jena) MSC: 46E35 47B06 PDFBibTeX XMLCite \textit{A. M. Caetano}, J. Approx. Theory 94, No. 3, 383--395 (1998; Zbl 0915.46026) Full Text: DOI
Caetano, António M. Weyl numbers in function spaces. II. (English) Zbl 0788.46036 Forum Math. 3, No. 6, 613-621 (1991). MSC: 46E35 47B06 PDFBibTeX XMLCite \textit{A. M. Caetano}, Forum Math. 3, No. 6, 613--621 (1991; Zbl 0788.46036) Full Text: DOI EuDML
Caetano, António M. Weyl numbers in function spaces. (English) Zbl 0708.46036 Forum Math. 2, No. 3, 249-263 (1990). Reviewer: B.Opic MSC: 46E35 47B38 47A67 47B06 PDFBibTeX XMLCite \textit{A. M. Caetano}, Forum Math. 2, No. 3, 249--263 (1990; Zbl 0708.46036) Full Text: DOI EuDML