Johanis, Michal; Kryštof, Václav; Zajíček, Luděk On Whitney-type extension theorems on Banach spaces for \(C^{1, \omega}, C^{1,+}, C_{\operatorname{loc}}^{1, +}\), and \(C_{\operatorname{B}}^{1, +}\)-smooth functions. (English) Zbl 07782576 J. Math. Anal. Appl. 532, No. 1, Article ID 127976, 27 p. (2024). MSC: 26Bxx 58Cxx 46Bxx PDFBibTeX XMLCite \textit{M. Johanis} et al., J. Math. Anal. Appl. 532, No. 1, Article ID 127976, 27 p. (2024; Zbl 07782576) Full Text: DOI arXiv
Rainer, Armin Quantitative tame properties of differentiable functions with controlled derivatives. (English) Zbl 07768277 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 237, Article ID 113372, 27 p. (2023). MSC: 26D07 26E10 41A17 41A63 58C25 PDFBibTeX XMLCite \textit{A. Rainer}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 237, Article ID 113372, 27 p. (2023; Zbl 07768277) Full Text: DOI arXiv
Ciosmak, Krzysztof J. Continuity of extensions of Lipschitz maps. (English) Zbl 1500.46059 Isr. J. Math. 245, No. 2, 567-588 (2021). MSC: 46T20 26B05 47H09 54C20 58C25 46C05 PDFBibTeX XMLCite \textit{K. J. Ciosmak}, Isr. J. Math. 245, No. 2, 567--588 (2021; Zbl 1500.46059) Full Text: DOI arXiv
Roberts, David Michael; Schmeding, Alexander Extending Whitney’s extension theorem: nonlinear function spaces. (Extension du théorème d’extension de Whitney : espaces de fonctions non linéaires.) (English. French summary) Zbl 1484.58006 Ann. Inst. Fourier 71, No. 3, 1241-1286 (2021). MSC: 58D15 46T10 58C07 54C35 46A04 46A13 53C21 PDFBibTeX XMLCite \textit{D. M. Roberts} and \textit{A. Schmeding}, Ann. Inst. Fourier 71, No. 3, 1241--1286 (2021; Zbl 1484.58006) Full Text: DOI arXiv
Cluckers, Raf; Friedland, Omer; Yomdin, Yosef Doubling coverings via resolution of singularities and preparation. (English) Zbl 1457.14031 Commun. Contemp. Math. 23, No. 2, Article ID 2050018, 23 p. (2021). Reviewer: Fujita Masato (Kure) MSC: 14E15 14P10 03C64 32B20 28D20 58K20 14G05 37C05 PDFBibTeX XMLCite \textit{R. Cluckers} et al., Commun. Contemp. Math. 23, No. 2, Article ID 2050018, 23 p. (2021; Zbl 1457.14031) Full Text: DOI arXiv
Carruth, Jacob; Frei-Pearson, Abraham; Israel, Arie; Klartag, Bo’az A coordinate-free proof of the finiteness principle for Whitney’s extension problem. (English) Zbl 1471.46021 Rev. Mat. Iberoam. 36, No. 7, 1917-1956 (2020); corrigendum ibid. 36, No. 7, 2237-2240 (2020). MSC: 46E15 46T20 58C25 PDFBibTeX XMLCite \textit{J. Carruth} et al., Rev. Mat. Iberoam. 36, No. 7, 1917--1956 (2020; Zbl 1471.46021) Full Text: DOI arXiv
Palmer, Joseph Metrics and convergence in moduli spaces of maps. (English. French summary) Zbl 1404.58020 Ann. Fac. Sci. Toulouse, Math. (6) 27, No. 3, 497-526 (2018). Reviewer: Andrew Bucki (Edmond) MSC: 58D15 53C20 PDFBibTeX XMLCite \textit{J. Palmer}, Ann. Fac. Sci. Toulouse, Math. (6) 27, No. 3, 497--526 (2018; Zbl 1404.58020) Full Text: DOI arXiv
Daniilidis, Aris; Haddou, Mounir; Le Gruyer, Erwan; Ley, Olivier Explicit formulas for \(C^{1,1}\) Glaeser-Whitney extensions of \(1\)-Taylor fields in Hilbert spaces. (English) Zbl 1406.54009 Proc. Am. Math. Soc. 146, No. 10, 4487-4495 (2018). Reviewer: Pao-sheng Hsu (Columbia Falls) MSC: 54C20 52A41 26B05 26B25 58C25 PDFBibTeX XMLCite \textit{A. Daniilidis} et al., Proc. Am. Math. Soc. 146, No. 10, 4487--4495 (2018; Zbl 1406.54009) Full Text: DOI arXiv
Azagra, D.; Le Gruyer, E.; Mudarra, C. Explicit formulas for \(C^{1,1}\) and \(C_{\operatorname{conv}}^{1, \omega}\) extensions of 1-jets in Hilbert and superreflexive spaces. (English) Zbl 1393.58006 J. Funct. Anal. 274, No. 10, 3003-3032 (2018). Reviewer: Mihai Turinici (Iaşi) MSC: 58C25 54C20 26B05 PDFBibTeX XMLCite \textit{D. Azagra} et al., J. Funct. Anal. 274, No. 10, 3003--3032 (2018; Zbl 1393.58006) Full Text: DOI arXiv
Juillet, Nicolas; Sigalotti, Mario Pliability, or the Whitney extension theorem for curves in Carnot groups. (English) Zbl 1372.22009 Anal. PDE 10, No. 7, 1637-1661 (2017). Reviewer: George Stoica (Saint John) MSC: 22E25 41A05 53C17 54C20 58C25 PDFBibTeX XMLCite \textit{N. Juillet} and \textit{M. Sigalotti}, Anal. PDE 10, No. 7, 1637--1661 (2017; Zbl 1372.22009) Full Text: DOI arXiv
Fefferman, Charles; Israel, Arie; Luli, Garving K. Finiteness principles for smooth selection. (English) Zbl 1353.58004 Geom. Funct. Anal. 26, No. 2, 422-477 (2016). Reviewer: Dorin Andrica (Riyadh) MSC: 58C25 41A10 41A05 65D15 PDFBibTeX XMLCite \textit{C. Fefferman} et al., Geom. Funct. Anal. 26, No. 2, 422--477 (2016; Zbl 1353.58004) Full Text: DOI arXiv
Fefferman, Charles The \(C^m\) norm of a function with prescribed jets. I. (English) Zbl 1228.42021 Rev. Mat. Iberoam. 26, No. 3, 1075-1098 (2010). Reviewer: Yuri A. Brudnyi (Haifa) MSC: 42B25 49K27 52A35 46E15 58C25 26E10 PDFBibTeX XMLCite \textit{C. Fefferman}, Rev. Mat. Iberoam. 26, No. 3, 1075--1098 (2010; Zbl 1228.42021) Full Text: DOI Euclid EuDML
Luli, Garving K. \(C^{m,\omega}\) extension by bounded-depth linear operators. (English) Zbl 1195.47005 Adv. Math. 224, No. 5, 1927-2021 (2010). Reviewer: Yuri A. Brudnyi (Haifa) MSC: 47A20 46E35 58A40 PDFBibTeX XMLCite \textit{G. K. Luli}, Adv. Math. 224, No. 5, 1927--2021 (2010; Zbl 1195.47005) Full Text: DOI
Le Gruyer, Erwan Minimal Lipschitz extensions to differentiable functions defined on a Hilbert space. (English) Zbl 1196.54035 Geom. Funct. Anal. 19, No. 4, 1101-1118 (2009). Reviewer: Dorin Andrica (Cluj-Napoca) MSC: 54C20 58C25 46T20 PDFBibTeX XMLCite \textit{E. Le Gruyer}, Geom. Funct. Anal. 19, No. 4, 1101--1118 (2009; Zbl 1196.54035) Full Text: DOI
Fefferman, Charles Whitney’s extension problems and interpolation of data. (English) Zbl 1207.58011 Bull. Am. Math. Soc., New Ser. 46, No. 2, 207-220 (2009). Reviewer: Vincent Thilliez (Villeneuve d’Ascq) MSC: 58C25 26B05 26B99 52A35 PDFBibTeX XMLCite \textit{C. Fefferman}, Bull. Am. Math. Soc., New Ser. 46, No. 2, 207--220 (2009; Zbl 1207.58011) Full Text: DOI
Bierstone, Edward; Milman, Pierre D. \({\mathcal C}^m\)-norms on finite sets and \({\mathcal C}^m\) extension. (English) Zbl 1116.58005 Duke Math. J. 137, No. 1, 1-18 (2007). Reviewer: Vincent Thilliez (Villeneuve d’Ascq) MSC: 58C25 26B05 26B35 58A20 PDFBibTeX XMLCite \textit{E. Bierstone} and \textit{P. D. Milman}, Duke Math. J. 137, No. 1, 1--18 (2007; Zbl 1116.58005) Full Text: DOI
Fefferman, Charles A generalized sharp Whitney theorem for jets. (English) Zbl 1102.58004 Rev. Mat. Iberoam. 21, No. 2, 577-688 (2005). MSC: 58C25 58A20 26B35 PDFBibTeX XMLCite \textit{C. Fefferman}, Rev. Mat. Iberoam. 21, No. 2, 577--688 (2005; Zbl 1102.58004) Full Text: DOI EuDML
Fefferman, Charles Interpolation and extrapolation of smooth functions by linear operators. (English) Zbl 1084.58003 Rev. Mat. Iberoam. 21, No. 1, 313-348 (2005). Reviewer: Vincent Thilliez (Villeneuve d’Ascq) MSC: 58C25 26E10 52A35 PDFBibTeX XMLCite \textit{C. Fefferman}, Rev. Mat. Iberoam. 21, No. 1, 313--348 (2005; Zbl 1084.58003) Full Text: DOI EuDML
Brudnyi, Yuri; Shvartsman, Pavel The Whitney problem of existence of a linear extension operator. (English) Zbl 0937.58007 J. Geom. Anal. 7, No. 4, 515-574 (1997). Reviewer: V.Thilliez (Villaneuve d’Ascq) MSC: 58C25 46E35 26E25 58C06 PDFBibTeX XMLCite \textit{Y. Brudnyi} and \textit{P. Shvartsman}, J. Geom. Anal. 7, No. 4, 515--574 (1997; Zbl 0937.58007) Full Text: DOI
Dyn’kin, Evsey Cauchy integral decomposition for harmonic forms. (English) Zbl 0899.58001 J. Anal. Math. 73, 165-186 (1997). Reviewer: V.L.Hansen (Lyngby) MSC: 58A10 58A25 PDFBibTeX XMLCite \textit{E. Dyn'kin}, J. Anal. Math. 73, 165--186 (1997; Zbl 0899.58001) Full Text: DOI