Youssef, Akdim; Aissaoui, Noureddine; Hassib, My Cherif Musielak-Orlicz-Sobolev spaces on arbitrary metrique space. (English) Zbl 1416.46039 Commentat. Math. 56, No. 2, 169-183 (2016). MSC: 46E35 28A12 31B15 42B35 46E30 42B25 PDF BibTeX XML Cite \textit{A. Youssef} et al., Commentat. Math. 56, No. 2, 169--183 (2016; Zbl 1416.46039) Full Text: DOI OpenURL
Ohno, Takao; Shimomura, Tetsu Musielak-Orlicz-Sobolev spaces with zero boundary values on metric measure spaces. (English) Zbl 1413.46037 Czech. Math. J. 66, No. 2, 371-394 (2016). Reviewer: Olli Martio (Helsinki) MSC: 46E35 31B15 30L99 PDF BibTeX XML Cite \textit{T. Ohno} and \textit{T. Shimomura}, Czech. Math. J. 66, No. 2, 371--394 (2016; Zbl 1413.46037) Full Text: DOI Link OpenURL
Bilet, Viktoriia; Dovgoshev, Oleksiy Boundedness of pretangent spaces to general metric spaces. (English) Zbl 1304.54048 Ann. Acad. Sci. Fenn., Math. 39, No. 1, 73-82 (2014). Reviewer: Mehmet Küçükaslan (Mersin) MSC: 54E35 28A10 PDF BibTeX XML Cite \textit{V. Bilet} and \textit{O. Dovgoshev}, Ann. Acad. Sci. Fenn., Math. 39, No. 1, 73--82 (2014; Zbl 1304.54048) Full Text: DOI OpenURL
Kolasiński, Sławomir; Strzelecki, Paweł; von der Mosel, Heiko Characterizing \(W^{2,p}\) submanifolds by \(p\)-integrability of global curvatures. (English) Zbl 1276.28012 Geom. Funct. Anal. 23, No. 3, 937-984 (2013). Reviewer: Carlos Meniño (Rio de Janeiro) MSC: 28A75 46E35 53A07 PDF BibTeX XML Cite \textit{S. Kolasiński} et al., Geom. Funct. Anal. 23, No. 3, 937--984 (2013; Zbl 1276.28012) Full Text: DOI arXiv OpenURL
Keith, Stephen; Zhong, Xiao The Poincaré inequality is an open ended condition. (English) Zbl 1180.46025 Ann. Math. (2) 167, No. 2, 575-599 (2008). Reviewer: Olli Martio (Helsinki) MSC: 46E35 30C65 43A85 PDF BibTeX XML Cite \textit{S. Keith} and \textit{X. Zhong}, Ann. Math. (2) 167, No. 2, 575--599 (2008; Zbl 1180.46025) Full Text: DOI Link Link OpenURL
Kinnunen, Juha; Tuominen, Heli Pointwise behaviour of \(M^{1,1}\) Sobolev functions. (English) Zbl 1128.46018 Math. Z. 257, No. 3, 613-630 (2007). Reviewer: Denise Huet (Nancy) MSC: 46E35 26D15 28A15 31B15 PDF BibTeX XML Cite \textit{J. Kinnunen} and \textit{H. Tuominen}, Math. Z. 257, No. 3, 613--630 (2007; Zbl 1128.46018) Full Text: DOI OpenURL
Faraco, Daniel; Zhong, Xiao A short proof of the self-improving regularity of quasiregular mappings. (English) Zbl 1078.30013 Proc. Am. Math. Soc. 134, No. 1, 187-192 (2006). Reviewer: Olli Martio (Helsinki) MSC: 30C65 35J60 PDF BibTeX XML Cite \textit{D. Faraco} and \textit{X. Zhong}, Proc. Am. Math. Soc. 134, No. 1, 187--192 (2006; Zbl 1078.30013) Full Text: DOI OpenURL
Romanov, A. S. On embeddings for classes of functions with generalized smoothness on metric spaces. (Russian, English) Zbl 1085.46025 Sib. Mat. Zh. 45, No. 4, 871-880 (2004); translation in Sib. Math. J. 45, No. 4, 722-729 (2004). Reviewer: N. A. Kudryavtseva (Novosibirsk) MSC: 46E35 PDF BibTeX XML Cite \textit{A. S. Romanov}, Sib. Mat. Zh. 45, No. 4, 871--880 (2004; Zbl 1085.46025); translation in Sib. Math. J. 45, No. 4, 722--729 (2004) Full Text: EuDML EMIS OpenURL
Romanov, A. S. Embedding theorems for a certain function class of Sobolev type on metric spaces. (Russian, English) Zbl 1058.46016 Sib. Mat. Zh. 45, No. 2, 452-465 (2004); translation in Sib. Math. J. 45, No. 2, 376-387 (2004). Reviewer: N. A. Kudryavtseva (Novosibirsk) MSC: 46E35 PDF BibTeX XML Cite \textit{A. S. Romanov}, Sib. Mat. Zh. 45, No. 2, 452--465 (2004; Zbl 1058.46016); translation in Sib. Math. J. 45, No. 2, 376--387 (2004) Full Text: EuDML EMIS OpenURL
Balogh, Zoltán M.; Rogovin, Kevin; Zürcher, Thomas The Stepanov differentiability theorem in metric measure spaces. (English) Zbl 1069.28001 J. Geom. Anal. 14, No. 3, 405-422 (2004). Reviewer: Michele Miranda (Lecce) MSC: 28A15 26B05 28A75 PDF BibTeX XML Cite \textit{Z. M. Balogh} et al., J. Geom. Anal. 14, No. 3, 405--422 (2004; Zbl 1069.28001) Full Text: DOI OpenURL
Kinnunen, Juha; Latvala, Visa Lebesgue points for Sobolev functions on metric spaces. (English) Zbl 1037.46031 Rev. Mat. Iberoam. 18, No. 3, 685-700 (2002). Reviewer: Olli Martio (Helsinki) MSC: 46E35 PDF BibTeX XML Cite \textit{J. Kinnunen} and \textit{V. Latvala}, Rev. Mat. Iberoam. 18, No. 3, 685--700 (2002; Zbl 1037.46031) Full Text: DOI EuDML OpenURL
Liu, Yongping; Lu, Guozhen; Wheeden, Richard L. Some equivalent definitions of high order Sobolev spaces on stratified groups and generalizations to metric spaces. (English) Zbl 1007.46034 Math. Ann. 323, No. 1, 157-174 (2002). Reviewer: Emmanuel Russ (Marseille) MSC: 46E35 22E35 41A10 PDF BibTeX XML Cite \textit{Y. Liu} et al., Math. Ann. 323, No. 1, 157--174 (2002; Zbl 1007.46034) Full Text: DOI OpenURL
Rissanen, Juha Wavelets on self-similar sets and the structure of the spaces \(M^{1,p}(E,\mu)\). (English) Zbl 0993.42016 Annales Academiæ Scientiarum Fennicæ. Mathematica. Dissertationes. 125. Helsinki: Suomalainen Tiedeakatemia. Jyväskylä: Univ. Jyväskylä, Faculty of Mathematics and Natural Sciences (Thesis), 46 p. (2002). Reviewer: Richard A.Zalik (Auburn University) MSC: 42C40 28A80 46E35 PDF BibTeX XML Cite \textit{J. Rissanen}, Wavelets on self-similar sets and the structure of the spaces \(M^{1,p}(E,\mu)\). Helsinki: Suomalainen Tiedeakatemia; Jyväskylä: \newline Univ. Jyväskylä, Faculty of Mathematics and Natural Sciences (Thesis) (2002; Zbl 0993.42016) OpenURL
Troyanov, Marc; Gol’dshtein, Vladimir An integral characterization of Hajłasz-Sobolev space. (English. Abridged French version) Zbl 1028.46051 C. R. Acad. Sci., Paris, Sér. I, Math. 333, No. 5, 445-450 (2001). MSC: 46E35 PDF BibTeX XML Cite \textit{M. Troyanov} and \textit{V. Gol'dshtein}, C. R. Acad. Sci., Paris, Sér. I, Math. 333, No. 5, 445--450 (2001; Zbl 1028.46051) Full Text: DOI OpenURL
Kałamajska, Agnieszka On compactness of embedding for Sobolev spaces defined on metric spaces. (English) Zbl 0914.46026 Ann. Acad. Sci. Fenn., Math. 24, No. 1, 123-132 (1999). Reviewer: A.Kałamajska (Warszawa) MSC: 46E35 PDF BibTeX XML Full Text: EuDML OpenURL
Romanov, A. S. Embedding theorems for generalized Sobolev spaces. (English. Russian original) Zbl 0949.46012 Sib. Math. J. 40, No. 4, 787-792 (1999); translation from Sib. Mat. Zh. 40, No. 4, 931-937 (1999). Reviewer: N.A.Kudryavtseva (Novosibirsk) MSC: 46E35 PDF BibTeX XML Cite \textit{A. S. Romanov}, Sib. Math. J. 40, No. 4, 931--937 (1998; Zbl 0949.46012); translation from Sib. Mat. Zh. 40, No. 4, 931--937 (1999) Full Text: DOI OpenURL
Romanov, A. S. On a generalization of Sobolev spaces. (English. Russian original) Zbl 0917.46022 Sib. Math. J. 39, No. 4, 821-824 (1998); translation from Sib. Mat. Zh. 39, No. 4, 949-953 (1998). Reviewer: N.A.Kudryavtseva (Novosibirsk) MSC: 46E35 PDF BibTeX XML Cite \textit{A. S. Romanov}, Sib. Math. J. 39, No. 4, 949--953 (1998; Zbl 0917.46022); translation from Sib. Mat. Zh. 39, No. 4, 949--953 (1998) Full Text: DOI OpenURL
Hajłasz, Piotr; Kinnunen, Juha Hölder quasicontinuity of Sobolev functions on metric spaces. (English) Zbl 1155.46306 Rev. Mat. Iberoam. 14, No. 3, 601-622 (1998). MSC: 46E35 28A15 PDF BibTeX XML Cite \textit{P. Hajłasz} and \textit{J. Kinnunen}, Rev. Mat. Iberoam. 14, No. 3, 601--622 (1998; Zbl 1155.46306) Full Text: DOI EuDML OpenURL
Koskela, Pekka; MacManus, Paul Quasiconformal mappings and Sobolev spaces. (English) Zbl 0918.30011 Stud. Math. 131, No. 1, 1-17 (1998). Reviewer: O.Martio (Helsinki) MSC: 30C65 46E35 PDF BibTeX XML Cite \textit{P. Koskela} and \textit{P. MacManus}, Stud. Math. 131, No. 1, 1--17 (1998; Zbl 0918.30011) Full Text: EuDML OpenURL
Hajłasz, Piotr; Martio, Olli Traces of Sobolev functions on fractal type sets and characterization of extension domains. (English) Zbl 0877.46025 J. Funct. Anal. 143, No. 1, 221-246 (1997). Reviewer: S.Wedrychowicz (Rzeszów) MSC: 46E35 PDF BibTeX XML Cite \textit{P. Hajłasz} and \textit{O. Martio}, J. Funct. Anal. 143, No. 1, 221--246 (1997; Zbl 0877.46025) Full Text: DOI Link OpenURL
Reshetnyak, Yu. G. Sobolev-type classes of functions with values in a metric space. (English. Russian original) Zbl 0944.46024 Sib. Math. J. 38, No. 3, 567-583 (1997); translation from Sib. Mat. Zh. 38, No. 3, 657-675 (1997). Reviewer: N.A.Kudryavtseva (Novosibirsk) MSC: 46E35 PDF BibTeX XML Cite \textit{Yu. G. Reshetnyak}, Sib. Math. J. 38, No. 3, 567--583 (1997; Zbl 0944.46024); translation from Sib. Mat. Zh. 38, No. 3, 657--675 (1997) Full Text: DOI OpenURL