Comi, Giovanni E.; Crasta, Graziano; De Cicco, Virginia; Malusa, Annalisa Representation formulas for pairings between divergence-measure fields and \(BV\) functions. (English) Zbl 07765653 J. Funct. Anal. 286, No. 1, Article ID 110192, 32 p. (2024). MSC: 26B30 26B20 49Q15 PDFBibTeX XMLCite \textit{G. E. Comi} et al., J. Funct. Anal. 286, No. 1, Article ID 110192, 32 p. (2024; Zbl 07765653) Full Text: DOI arXiv
González-Riquelme, Cristian Continuity for the one-dimensional centered Hardy-Littlewood maximal operator at the derivative level. (English) Zbl 07729953 J. Funct. Anal. 285, No. 9, Article ID 110097, 14 p. (2023). MSC: 26A45 42B25 39A12 46E35 46E39 05C12 PDFBibTeX XMLCite \textit{C. González-Riquelme}, J. Funct. Anal. 285, No. 9, Article ID 110097, 14 p. (2023; Zbl 07729953) Full Text: DOI arXiv
Campbell, Daniel; Kauranen, Aapo; Radici, Emanuela Classification of strict limits of planar \(BV\) homeomorphisms. (English) Zbl 07683487 J. Funct. Anal. 285, No. 3, Article ID 109953, 30 p. (2023). MSC: 26B30 30E10 58E20 PDFBibTeX XMLCite \textit{D. Campbell} et al., J. Funct. Anal. 285, No. 3, Article ID 109953, 30 p. (2023; Zbl 07683487) Full Text: DOI arXiv
González-Riquelme, Cristian; Kosz, Dariusz BV continuity for the uncentered Hardy-Littlewood maximal operator. (English) Zbl 1475.26009 J. Funct. Anal. 281, No. 2, Article ID 109037, 20 p. (2021). Reviewer: Jiří Rákosník (Praha) MSC: 26A45 39A12 42B25 46E35 PDFBibTeX XMLCite \textit{C. González-Riquelme} and \textit{D. Kosz}, J. Funct. Anal. 281, No. 2, Article ID 109037, 20 p. (2021; Zbl 1475.26009) Full Text: DOI arXiv
Lahti, Panu Approximation of BV by SBV functions in metric spaces. (English) Zbl 1451.30119 J. Funct. Anal. 279, No. 11, Article ID 108763, 33 p. (2020). MSC: 30L99 31E05 26B30 PDFBibTeX XMLCite \textit{P. Lahti}, J. Funct. Anal. 279, No. 11, Article ID 108763, 33 p. (2020; Zbl 1451.30119) Full Text: DOI arXiv
Canevari, Giacomo; Orlandi, Giandomenico Lifting for manifold-valued maps of bounded variation. (English) Zbl 1442.53011 J. Funct. Anal. 278, No. 10, Article ID 108453, 17 p. (2020). Reviewer: V. K. Chaubey (Gorakhpur) MSC: 53B20 26A45 PDFBibTeX XMLCite \textit{G. Canevari} and \textit{G. Orlandi}, J. Funct. Anal. 278, No. 10, Article ID 108453, 17 p. (2020; Zbl 1442.53011) Full Text: DOI arXiv
Farroni, Fernando; Fusco, Nicola; Guarino Lo Bianco, Serena; Schiattarella, Roberta A formula for the anisotropic total variation of SBV functions. (English) Zbl 1434.26029 J. Funct. Anal. 278, No. 9, Article ID 108451, 32 p. (2020). MSC: 26B30 26A45 42B35 PDFBibTeX XMLCite \textit{F. Farroni} et al., J. Funct. Anal. 278, No. 9, Article ID 108451, 32 p. (2020; Zbl 1434.26029) Full Text: DOI
Figueiredo, Giovany M.; Pimenta, Marcos T. O. Sub-supersolution method for a quasilinear elliptic problem involving the 1-Laplacian operator and a gradient term. (English) Zbl 1435.35171 J. Funct. Anal. 278, No. 3, Article ID 108325, 25 p. (2020). Reviewer: Georgios Psaradakis (Mannheim) MSC: 35J62 35J75 PDFBibTeX XMLCite \textit{G. M. Figueiredo} and \textit{M. T. O. Pimenta}, J. Funct. Anal. 278, No. 3, Article ID 108325, 25 p. (2020; Zbl 1435.35171) Full Text: DOI
Comi, Giovanni E.; Stefani, Giorgio A distributional approach to fractional Sobolev spaces and fractional variation: existence of blow-up. (English) Zbl 1437.46039 J. Funct. Anal. 277, No. 10, 3373-3435 (2019). MSC: 46E35 26B30 26A33 35B44 47B38 PDFBibTeX XMLCite \textit{G. E. Comi} and \textit{G. Stefani}, J. Funct. Anal. 277, No. 10, 3373--3435 (2019; Zbl 1437.46039) Full Text: DOI arXiv
Bucur, Dorin; Giacomini, Alessandro Minimization of the \(k\)-th eigenvalue of the Robin-Laplacian. (English) Zbl 1429.49015 J. Funct. Anal. 277, No. 3, 643-687 (2019). Reviewer: Davide Buoso (Lausanne) MSC: 49J45 49J35 26A45 35R35 35J20 49R05 35P15 PDFBibTeX XMLCite \textit{D. Bucur} and \textit{A. Giacomini}, J. Funct. Anal. 277, No. 3, 643--687 (2019; Zbl 1429.49015) Full Text: DOI
Crasta, Graziano; De Cicco, Virginia An extension of the pairing theory between divergence-measure fields and BV functions. (English) Zbl 1474.28016 J. Funct. Anal. 276, No. 8, 2605-2635 (2019). MSC: 28B05 46G10 26B30 PDFBibTeX XMLCite \textit{G. Crasta} and \textit{V. De Cicco}, J. Funct. Anal. 276, No. 8, 2605--2635 (2019; Zbl 1474.28016) Full Text: DOI arXiv
Beltran, David; Ramos, João Pedro; Saari, Olli Regularity of fractional maximal functions through Fourier multipliers. (English) Zbl 1422.42012 J. Funct. Anal. 276, No. 6, 1875-1892 (2019). Reviewer: Ioannis Parissis (Bilbao) MSC: 42B15 42B25 46E35 PDFBibTeX XMLCite \textit{D. Beltran} et al., J. Funct. Anal. 276, No. 6, 1875--1892 (2019; Zbl 1422.42012) Full Text: DOI arXiv
Lahti, P.; Shanmugalingam, N. Trace theorems for functions of bounded variation in metric spaces. (English) Zbl 1392.26016 J. Funct. Anal. 274, No. 10, 2754-2791 (2018). Reviewer: Sorin Gheorghe Gal (Oradea) MSC: 26A45 30L99 30E05 PDFBibTeX XMLCite \textit{P. Lahti} and \textit{N. Shanmugalingam}, J. Funct. Anal. 274, No. 10, 2754--2791 (2018; Zbl 1392.26016) Full Text: DOI arXiv
Carneiro, Emanuel; Madrid, José; Pierce, Lillian B. Endpoint Sobolev and BV continuity for maximal operators. (English) Zbl 1402.42024 J. Funct. Anal. 273, No. 10, 3262-3294 (2017). Reviewer: Pierre Portal (Canberra) MSC: 42B25 46E35 46E39 26A45 PDFBibTeX XMLCite \textit{E. Carneiro} et al., J. Funct. Anal. 273, No. 10, 3262--3294 (2017; Zbl 1402.42024) Full Text: DOI arXiv
Adimurthi; Tintarev, Cyril Defect of compactness in spaces of bounded variation. (English) Zbl 1356.46017 J. Funct. Anal. 271, No. 1, 37-48 (2016). MSC: 46B50 26B30 46E35 46N20 35H20 35J92 PDFBibTeX XMLCite \textit{Adimurthi} and \textit{C. Tintarev}, J. Funct. Anal. 271, No. 1, 37--48 (2016; Zbl 1356.46017) Full Text: DOI
Fusco, N.; Moscariello, G.; Sbordone, C. A formula for the total variation of SBV functions. (English) Zbl 1332.26018 J. Funct. Anal. 270, No. 1, 419-446 (2016). Reviewer: József Sándor (Cluj-Napoca) MSC: 26A45 46G05 PDFBibTeX XMLCite \textit{N. Fusco} et al., J. Funct. Anal. 270, No. 1, 419--446 (2016; Zbl 1332.26018) Full Text: DOI
Beck, Lisa; Schmidt, Thomas Convex duality and uniqueness for BV-minimizers. (English) Zbl 1322.49056 J. Funct. Anal. 268, No. 10, 3061-3107 (2015). MSC: 49N15 49K20 26B30 26B25 PDFBibTeX XMLCite \textit{L. Beck} and \textit{T. Schmidt}, J. Funct. Anal. 268, No. 10, 3061--3107 (2015; Zbl 1322.49056) Full Text: DOI
Zorin-Kranich, Pavel Variation estimates for averages along primes and polynomials. (English) Zbl 1304.42031 J. Funct. Anal. 268, No. 1, 210-238 (2015). MSC: 42B15 37A45 26A45 PDFBibTeX XMLCite \textit{P. Zorin-Kranich}, J. Funct. Anal. 268, No. 1, 210--238 (2015; Zbl 1304.42031) Full Text: DOI arXiv
Obersnel, Franco; Omari, Pierpaolo; Rivetti, Sabrina Asymmetric Poincaré inequalities and solvability of capillarity problems. (English) Zbl 1328.46033 J. Funct. Anal. 267, No. 3, 842-900 (2014). MSC: 46E35 26B30 35J93 PDFBibTeX XMLCite \textit{F. Obersnel} et al., J. Funct. Anal. 267, No. 3, 842--900 (2014; Zbl 1328.46033) Full Text: DOI
Ambrosio, Luigi; Di Marino, Simone Equivalent definitions of \(BV\) space and of total variation on metric measure spaces. (English) Zbl 1302.26012 J. Funct. Anal. 266, No. 7, 4150-4188 (2014). MSC: 26B30 42B35 PDFBibTeX XMLCite \textit{L. Ambrosio} and \textit{S. Di Marino}, J. Funct. Anal. 266, No. 7, 4150--4188 (2014; Zbl 1302.26012) Full Text: DOI
Leoni, Giovanni; Spector, Daniel Corrigendum to “Characterization of Sobolev and \(BV\) spaces”. (English) Zbl 1308.46045 J. Funct. Anal. 266, No. 2, 1106-1114 (2014). MSC: 46E35 26B30 PDFBibTeX XMLCite \textit{G. Leoni} and \textit{D. Spector}, J. Funct. Anal. 266, No. 2, 1106--1114 (2014; Zbl 1308.46045) Full Text: DOI
Carneiro, Emanuel; Svaiter, Benar F. On the variation of maximal operators of convolution type. (English) Zbl 1317.42017 J. Funct. Anal. 265, No. 5, 837-865 (2013). MSC: 42B25 46E35 PDFBibTeX XMLCite \textit{E. Carneiro} and \textit{B. F. Svaiter}, J. Funct. Anal. 265, No. 5, 837--865 (2013; Zbl 1317.42017) Full Text: DOI arXiv
Leoni, Giovanni; Spector, Daniel Characterization of Sobolev and BV spaces. (English) Zbl 1236.46032 J. Funct. Anal. 261, No. 10, 2926-2958 (2011); corrigendum ibid. 266, No. 2, 1106-1114 (2014). Reviewer: Ludvík Janoš (Claremont) MSC: 46E35 26B30 PDFBibTeX XMLCite \textit{G. Leoni} and \textit{D. Spector}, J. Funct. Anal. 261, No. 10, 2926--2958 (2011; Zbl 1236.46032) Full Text: DOI
Bartsch, Thomas; Willem, Michel Some critical minimization problems for functions of bounded variations. (English) Zbl 1201.49006 J. Funct. Anal. 259, No. 11, 3025-3035 (2010). MSC: 49J27 26B30 PDFBibTeX XMLCite \textit{T. Bartsch} and \textit{M. Willem}, J. Funct. Anal. 259, No. 11, 3025--3035 (2010; Zbl 1201.49006) Full Text: DOI
Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried Composition operators on Lizorkin-Triebel spaces. (English) Zbl 1219.47092 J. Funct. Anal. 259, No. 5, 1098-1128 (2010). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 47H30 46E35 PDFBibTeX XMLCite \textit{G. Bourdaud} et al., J. Funct. Anal. 259, No. 5, 1098--1128 (2010; Zbl 1219.47092) Full Text: DOI
Ambrosio, Luigi; Miranda, Michele jun.; Maniglia, Stefania; Pallara, Diego BV functions in abstract Wiener spaces. (English) Zbl 1194.46066 J. Funct. Anal. 258, No. 3, 785-813 (2010). Reviewer: Stefan Balint (Timişoara) MSC: 46G12 46T20 26B30 26E15 47D07 PDFBibTeX XMLCite \textit{L. Ambrosio} et al., J. Funct. Anal. 258, No. 3, 785--813 (2010; Zbl 1194.46066) Full Text: DOI
Fusco, N.; Maggi, F.; Pratelli, A. The sharp quantitative Sobolev inequality for functions of bounded variation. (English) Zbl 1121.46029 J. Funct. Anal. 244, No. 1, 315-341 (2007). Reviewer: Stefan G. Samko (Faro) MSC: 46E35 26B30 PDFBibTeX XMLCite \textit{N. Fusco} et al., J. Funct. Anal. 244, No. 1, 315--341 (2007; Zbl 1121.46029) Full Text: DOI
Cianchi, Andrea A quantitative Sobolev inequality in BV. (English) Zbl 1110.46020 J. Funct. Anal. 237, No. 2, 466-481 (2006). Reviewer: Peter Hästö (Helsinki) MSC: 46E35 PDFBibTeX XMLCite \textit{A. Cianchi}, J. Funct. Anal. 237, No. 2, 466--481 (2006; Zbl 1110.46020) Full Text: DOI
Chistyakov, V. V.; Nowak, Andrzej Regular Carathéodory-type selectors under no convexity assumptions. (English) Zbl 1078.28008 J. Funct. Anal. 225, No. 2, 247-262 (2005). Reviewer: Wlodzimierz Ślȩzak (Bydgoszcz) MSC: 28B20 26A45 26E25 26B30 54C60 54C65 PDFBibTeX XMLCite \textit{V. V. Chistyakov} and \textit{A. Nowak}, J. Funct. Anal. 225, No. 2, 247--262 (2005; Zbl 1078.28008) Full Text: DOI
De Pauw, Thierry Topologies for the space of \(BV\)-integrable functions in \(\mathbb{R}^ N\). (English) Zbl 0887.46007 J. Funct. Anal. 144, No. 1, 190-231 (1997). Reviewer: J.Niewiarowski (Łódź) MSC: 46E10 26B30 46A99 PDFBibTeX XMLCite \textit{T. De Pauw}, J. Funct. Anal. 144, No. 1, 190--231 (1997; Zbl 0887.46007) Full Text: DOI
Braides, Andrea The Lavrentiev phenomenon for free discontinuity problems. (English) Zbl 0830.49014 J. Funct. Anal. 127, No. 1, 1-20 (1995). Reviewer: L.Ambrosio (Pisa) MSC: 49J45 49Q20 49N60 PDFBibTeX XMLCite \textit{A. Braides}, J. Funct. Anal. 127, No. 1, 1--20 (1995; Zbl 0830.49014) Full Text: DOI
Ambrosio, Luigi; Dal Maso, Gianni On the relaxation in \(BV(\Omega ;\mathbb{R}^ m)\) of quasi-convex integrals. (English) Zbl 0769.49009 J. Funct. Anal. 109, No. 1, 76-97 (1992). Reviewer: R.Schianchi (L’Aquila) MSC: 49J45 PDFBibTeX XMLCite \textit{L. Ambrosio} and \textit{G. Dal Maso}, J. Funct. Anal. 109, No. 1, 76--97 (1992; Zbl 0769.49009) Full Text: DOI
Blasco, Oscar Boundary values of functions in vector-valued Hardy spaces and geometry on Banach spaces. (English) Zbl 0658.46031 J. Funct. Anal. 78, No. 2, 346-364 (1988). Reviewer: N.Papaghinc MSC: 46E40 46B20 46E30 46B22 PDFBibTeX XMLCite \textit{O. Blasco}, J. Funct. Anal. 78, No. 2, 346--364 (1988; Zbl 0658.46031) Full Text: DOI
Moreau, J. J.; Valadier, M. A chain rule involving vector functions of bounded variation. (English) Zbl 0632.46040 J. Funct. Anal. 74, 333-345 (1987). Reviewer: M.Todorov MSC: 46G10 PDFBibTeX XMLCite \textit{J. J. Moreau} and \textit{M. Valadier}, J. Funct. Anal. 74, 333--345 (1987; Zbl 0632.46040) Full Text: DOI HAL
Benke, George Smoothness and absolute convergence of Fourier series in compact totally disconnected groups. (English) Zbl 0392.43008 J. Funct. Anal. 29, 319-327 (1978). MSC: 43A50 43A15 42A20 PDFBibTeX XMLCite \textit{G. Benke}, J. Funct. Anal. 29, 319--327 (1978; Zbl 0392.43008) Full Text: DOI