Brenner, Susanne C.; Sung, Li-Yeng; Tan, Zhiyu; Zhang, Hongchao A nonlinear least-squares convexity enforcing \(C^0\) interior penalty method for the Monge-Ampère equation on strictly convex smooth planar domains. (English) Zbl 07937619 Commun. Am. Math. Soc. 4, 607-640 (2024). MSC: 65N12 65N15 65N30 65K10 90C30 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Buzano, Reto; Haslhofer, Robert; Hershkovits, Or The moduli space of two-convex embedded tori. (English) Zbl 1434.53006 Int. Math. Res. Not. 2019, No. 2, 392-406 (2019). Reviewer: Ioan Pop (Iaşi) MSC: 53A07 57R40 58D27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Weimin Contact splitting of symplectic \(\mathbb Q\)-homology \(\mathbb{CP}^2\). (English) Zbl 1406.53084 Akbulut, Selman (ed.) et al., Proceedings of the 24th Gökova geometry-topology conference, Gökova, Turkey, May 29 –June 2, 2017. Somerville, MA: International Press; Gökova: Gökova Geometry-Topology Conferences (GGT) (ISBN 978-1-57146-360-9/pbk). 53-72 (2018). MSC: 53D35 × Cite Format Result Cite Review PDF
Nikolov, N.; Andreev, L. Boundary behavior of the squeezing functions of \(\mathbb{C}\)-convex domains and plane domains. (English) Zbl 1373.32010 Int. J. Math. 28, No. 5, Article ID 1750031, 5 p. (2017). Reviewer: Paweł Zapałowski (Kraków) MSC: 32F17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Einsiedler, Manfred; Ward, Thomas Functional analysis, spectral theory, and applications. (English) Zbl 1387.46001 Graduate Texts in Mathematics 276. Cham: Springer (ISBN 978-3-319-58539-0/hbk; 978-3-319-58540-6/ebook). xiv, 614 p. (2017). Reviewer: Jan-David Hardtke (Berlin) MSC: 46-01 47-01 46B10 46C05 46A03 46E15 46E30 46E35 46L05 47A05 47A10 47A60 47B15 47B25 43A07 × Cite Format Result Cite Review PDF Full Text: DOI
Kopylov, Anatoliĭ Pavlovich On the unique determination of domains by the condition of the local isometry of the boundaries in the relative metrics. (English) Zbl 1360.53072 Sib. Èlektron. Mat. Izv. 14, 59-72 (2017). MSC: 53C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koo, Hyungwoon; Li, Song-Ying Composition operators on bounded convex domains in \(\mathbb C^n\). (English) Zbl 1362.47010 Integral Equations Oper. Theory 85, No. 4, 555-572 (2016). MSC: 47B33 32A36 32T25 × Cite Format Result Cite Review PDF Full Text: DOI
Alexandre, William; Mazzilli, Emmanuel Extension of holomorphic functions defined on singular complex hypersurfaces with growth estimates. (English) Zbl 1327.32024 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 14, No. 1, 293-330 (2015). Reviewer: Marek Jarnicki (Kraków) MSC: 32F32 32T99 32D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brenner, Susanne C.; Gudi, Thirupathi; Neilan, Michael; Sung, Li-Yeng \(\mathcal{C}^{0}\) penalty methods for the fully nonlinear Monge-Ampère equation. (English) Zbl 1228.65220 Math. Comput. 80, No. 276, 1979-1995 (2011). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 35J96 65N15 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Dechevsky, Lubomir T. Smooth convex resolution of unity and/or scattered-point Hermite interpolation by generalized expo-rational \(B\)-splines. II: Star-shaped covers. (English) Zbl 1223.41004 Int. J. Pure Appl. Math. 65, No. 4, 413-460 (2010). Reviewer: V. Leontiev (Ul’yanovsk) MSC: 41A15 33B15 33F05 41A30 65D05 65D07 65D10 65D20 × Cite Format Result Cite Review PDF
Dechevsky, Lubomir T. Smooth convex resolution of unity and/or scattered-point Hermite interpolation by generalized expo-rational \(B\)-splines. I: General simply connected covers and partitions. (English) Zbl 1223.41003 Int. J. Pure Appl. Math. 65, No. 4, 391-412 (2010). Reviewer: V. Leontiev (Ul’yanovsk) MSC: 41A15 33B15 33F05 41A30 65D05 65D07 65D10 65D20 × Cite Format Result Cite Review PDF
Mitrea, Dorina; Mitrea, Irina; Mitrea, Marius; Yan, Lixin Coercive energy estimates for differential forms in semi-convex domains. (English) Zbl 1197.35071 Commun. Pure Appl. Anal. 9, No. 4, 987-1010 (2010). MSC: 35B65 35J47 46E35 35B45 35J50 35J57 53C45 × Cite Format Result Cite Review PDF Full Text: DOI
Peloso, Marco M.; Valencourt, Hercule Boundary behaviour of holomorphic functions in Hardy-Sobolev spaces on convex domains in \(\mathbb {C}^n\). (English) Zbl 1192.32007 Colloq. Math. 118, No. 2, 649-668 (2010). Reviewer: Pawel Zapalowski (Kraków) MSC: 32A40 32A35 32T25 46E22 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Marmolejo, Emilio; Mitrea, Marius; Shi, Qiang The Banach envelope of monogenic Hardy spaces in Lipschitz domains. (English) Zbl 1224.30192 Beznea, Lucian (ed.) et al., Proceedings of the sixth congress of Romanian Mathematicians, Bucharest, Romania, June 28–July 4, 2007. Vol. 1: Scientific contributions. Bucharest: Editura Academiei Române (ISBN 978-973-27-1781-3/v.1; 978-973-27-1780-6/set). 269-278 (2009). Reviewer: Wolfgang Sproessig (Freiberg) MSC: 30G35 46A16 46E35 42B20 45E05 × Cite Format Result Cite Review PDF
Mitrea, Marius; Monniaux, Sylvie On the analyticity of the semigroup generated by the Stokes operator with Neumann-type boundary conditions on Lipschitz subdomains of Riemannian manifolds. (English) Zbl 1170.42010 Trans. Am. Math. Soc. 361, No. 6, 3125-3157 (2009). Reviewer: Caroline Sweezy (Las Cruces, NM) MSC: 42B30 46A16 46E35 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Frid, Hermano Nonlinear maps of convex sets in Hilbert spaces with application to kinetic equations. (English) Zbl 1187.46061 Bull. Braz. Math. Soc. (N.S.) 39, No. 3, 315-340 (2008). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46N20 35B35 35L65 46C99 46N40 47H99 × Cite Format Result Cite Review PDF Full Text: DOI
Brendle, Simon Minimal Lagrangian diffeomorphisms between domains in the hyperbolic plane. (English) Zbl 1154.53034 J. Differ. Geom. 80, No. 1, 1-22 (2008). Reviewer: Weihuan Chen (Beijing) MSC: 53C42 53D12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Kalton, Nigel; Mayboroda, Svitlana; Mitrea, Marius Interpolation of Hardy-Sobolev-Besov-Triebel-Lizorkin spaces and applications to problems in partial differential equations. (English) Zbl 1158.46013 De Carli, Laura (ed.) et al., Interpolation theory and applications. A conference in honor of Michael Cwikel on the occasion of his 59th birthday, March 29–31, 2006 and AMS special session on interpolation theory and applications, AMS sectional meeting, Miami, FL, USA, April 1–2, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4207-2/pbk). Contemporary Mathematics 445, 121-177 (2007). Reviewer: W. D. Evans (Cardiff) MSC: 46B70 46A16 46E35 35J25 47A53 × Cite Format Result Cite Review PDF
Jakab, Tünde; Mitrea, Irina; Mitrea, Marius Traces of functions in Hardy and Besov spaces on Lipschitz domains with applications to compensated compactness and the theory of Hardy and Bergman type spaces. (English) Zbl 1162.42310 J. Funct. Anal. 246, No. 1, 50-112 (2007). MSC: 42B30 46A16 46E35 42B20 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Mel’nyk, V. L. Linearly convex domains with singularities on the boundary. (English. Ukrainian original) Zbl 0981.46005 Ukr. Math. J. 52, No. 3, 464-469 (2000); translation from Ukr. Mat. Zh. 52, No. 3, 403-408 (2000). MSC: 46A55 52A07 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Lan; Vassiliadou, Sophia K. \(L^p\) estimates for the Cauchy-Riemann operator on \(q\)-convex intersections in \(\mathbb{C}^n\). (English) Zbl 0988.32020 Manuscr. Math. 103, No. 4, 413-433 (2000). Reviewer: Emil J.Straube (College Station) MSC: 32W05 32F10 × Cite Format Result Cite Review PDF Full Text: DOI
Mendez, Osvaldo; Mitrea, Marius The Banach envelopes of Besov and Triebel-Lizorkin spaces and applications to partial differential equations. (English) Zbl 0972.46017 J. Fourier Anal. Appl. 6, No. 5, 503-531 (2000). Reviewer: Stefan G.Samko (Faro) MSC: 46E35 35J55 47G10 42B20 46A16 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Prus, Stanisław Banach spaces and operators which are nearly uniformly convex. (English) Zbl 0886.46017 Diss. Math. 363, 46 p. (1997). Reviewer: H.Junek (Potsdam) MSC: 46B20 46B03 46B10 46B15 47A05 46B70 × Cite Format Result Cite Review PDF
Li, Yongjin The convexity of linear operator on Banach space. (Chinese. English summary) Zbl 0867.47005 Acta Sci. Nat. Univ. Sunyatseni 35, No. 4, 18-21 (1996). MSC: 47A05 × Cite Format Result Cite Review PDF
Huxley, M. N. Area, lattice points, and exponential sums. (English) Zbl 0861.11002 London Mathematical Society Monographs. New Series. 13. Oxford: Clarendon Press. xii, 494 p. (1996). Reviewer: E.Krätzel (Wien) MSC: 11-02 11P21 11C99 11L07 11H99 11N37 11M06 × Cite Format Result Cite Review PDF
Hurri-Syrjänen, Ritva A generalization of an inequality of Bhattacharya and Leonetti. (English) Zbl 0886.46038 Can. Math. Bull. 39, No. 4, 438-447 (1996). MSC: 46E35 26D10 × Cite Format Result Cite Review PDF Full Text: DOI
Jerison, David The first nodal set of a convex domain. (English) Zbl 0837.31005 Fefferman, Charles (ed.) et al., Essays on Fourier analysis in honor of Elias M. Stein. Proceedings of the Princeton conference on harmonic analysis held at Princeton Univ., Princeton, NJ, USA, May 13-17, 1991 in honor of Elias M. Stein’s 60th birthday. Princeton, NJ: Princeton Univ. Press. Princeton Math. Ser. 42, 225-249 (1995). Reviewer: M.Dont (Praha) MSC: 31B99 35P05 58J50 35J05 × Cite Format Result Cite Review PDF
MacCluer, Barbara D.; Mercer, Peter R. Composition operators between Hardy and weighted Bergman spaces on convex domains in \(\mathbb{C}^ N\). (English) Zbl 0831.47023 Proc. Am. Math. Soc. 123, No. 7, 2093-2102 (1995). MSC: 47B38 32H02 46J15 32T99 × Cite Format Result Cite Review PDF Full Text: DOI
McNeal, J. D.; Stein, Elias M. Mapping properties of the Bergman projection on convex domains of finite type. (English) Zbl 0801.32008 Duke Math. J. 73, No. 1, 177-199 (1994). Reviewer: H.P.Boas (College Station) MSC: 32A25 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Laurent-Thiébaut, C.; Leiterer, Jürgen Uniform estimates for the Cauchy-Riemann equation on \(q\)-convex wedges. (English) Zbl 0782.32014 Ann. Inst. Fourier 43, No. 2, 383-436 (1993). Reviewer: C.Laurent-Thiébaut (Grenoble) MSC: 32W05 32F10 32A25 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Yu, Jiye Multitypes of convex domains. (English) Zbl 0759.32009 Indiana Univ. Math. J. 41, No. 3, 837-849 (1992). Reviewer: Jiye Yu MSC: 32T99 32V40 × Cite Format Result Cite Review PDF Full Text: DOI
Cohn, William S. Tangential characterizations of Hardy-Sobolev spaces. (English) Zbl 0768.46017 Indiana Univ. Math. J. 40, No. 4, 1221-1249 (1991). Reviewer: H.Triebel (Jena) MSC: 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Simo, J. C. Nonlinear stability of the time-discrete variational problem of evolution in nonlinear heat conduction, plasticity and viscoplasticity. (English) Zbl 0751.73066 Comput. Methods Appl. Mech. Eng. 88, No. 1, 111-131 (1991). MSC: 74S30 74P10 74C99 74C10 74A15 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Berteloot, F.; Cœuré, Gérard Domaines de \({\mathbb{C}}^ 2\), pseudoconvexes et de type fini ayant un groupe non compact d’automorphismes. (On domains in \({\mathbb{C}}^ 2\), being pseudoconvex and of finite type, with non-compact automorphism group). (French) Zbl 0711.32016 Ann. Inst. Fourier 41, No. 1, 77-86 (1991). Reviewer: F.Berteloot and G.Coeuré MSC: 32M99 32T99 32A17 × Cite Format Result Cite Review PDF Full Text: DOI Numdam
Amar, E.; Lempert, L. Geometric regularity versus analytic regularity in the higher codimensional case. (English) Zbl 0755.32010 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 17, No. 2, 297-321 (1990). Reviewer: I.H.Nagaraja Rao (Waltair) MSC: 32D05 32A40 32C25 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Lê Hai Khôi Espaces conjugués, ensembles faiblement suffisants discrets et systèmes de représentation exponentielle. (Dual spaces, weakly discrete sufficient sets and systems of exponential representation). (French) Zbl 0701.46013 Bull. Sci. Math., II. Sér. 113, No. 3, 309-347 (1989). Reviewer: I.Şerb MSC: 46E10 32E35 32A35 46J15 32A10 × Cite Format Result Cite Review PDF
Zelinskij, Yu. B. Linearly convex regions with smooth boundaries. (English. Russian original) Zbl 0647.32001 Ukr. Math. J. 40, No. 1, 44-48 (1988); translation from Ukr. Mat. Zh. 40, No. 1, 53-58 (1988). MSC: 32A07 × Cite Format Result Cite Review PDF Full Text: DOI
Catlin, David Regularity of solutions of the \({\bar \partial}\)-Neumann problem. (English) Zbl 0669.35081 Proc. Int. Congr. Math., Berkeley/Calif. 1986, Vol. 1, 708-714 (1987). Reviewer: R.Salvi MSC: 35N15 32W05 35B45 32T99 35B65 × Cite Format Result Cite Review PDF
Ligocka, Ewa Estimates in Sobolev norms \(\| \cdot \|\) \(s_ p\) for harmonic and holomorphic functions and interpolation between Sobolev and Hölder spaces of harmonic functions. (English) Zbl 0642.46035 Stud. Math. 86, 255-271 (1987). Reviewer: R.Meise MSC: 46E35 46M35 32T99 46E10 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Aleksandrov, V. A. On domains uniquely determined by the relative metric of their boundary. (Russian) Zbl 0636.53009 Tr. Inst. Mat. 7, 5-19 (1987). Reviewer: M.Martin MSC: 53A07 53C45 × Cite Format Result Cite Review PDF
Kikuchi, Fumio An isomorphic property of two Hilbert spaces appearing in electromagnetism: Analysis by the mixed formulation. (English) Zbl 0613.46040 Japan J. Appl. Math. 3, 53-58 (1986). MSC: 46E35 46E20 78A25 46E40 65N30 65Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Jacobowitz, Howard Chains in CR geometry. (English) Zbl 0581.32022 J. Differ. Geom. 21, 163-194 (1985). Reviewer: Bang-yen Chen MSC: 32V40 32T99 × Cite Format Result Cite Review PDF Full Text: DOI
Gay, Roger; Sebbar, Ahmed Applications of an exhaustion of an open pseudo- convex \(\Omega\) to division and extension problems in \(A^{\infty}(\Omega)\) algebra. (Applications d’une exhaustion d’un ouvert pseudo-convexe \(\Omega\) à des problèmes de division et d’extension dans l’algèbre \(A^{\infty}(\Omega)\).) (French) Zbl 0587.32034 C. R. Acad. Sci., Paris, Sér. I 299, 483-486 (1984). Reviewer: Th.Peternell MSC: 32T99 32A38 × Cite Format Result Cite Review PDF
Boas, Harold P. Holomorphic reproducing kernels in Reinhardt domains. (English) Zbl 0497.32021 Pac. J. Math. 112, 273-292 (1984). MSC: 32A25 46E35 32A07 32T99 × Cite Format Result Cite Review PDF Full Text: DOI
Valdivia, M. Interpolation in certain function spaces. (English) Zbl 0439.46016 Proc. R. Ir. Acad., Sect. A 80, 173-189 (1980). MSC: 46E10 46A04 46E35 32D05 46M35 × Cite Format Result Cite Review PDF