@article{RSMUP_2010__123__91_0, author = {Tang, Sufang and Niu, Pengcheng}, title = {Morrey estimates for parabolic nondivergence operators of H\"ormander type}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, volume = {124}, year = {2010}, pages = {91-130}, mrnumber = {2683293}, zbl = {pre05780246}, zbl = {1230.35142}, language = {en}, url = {http://dml.mathdoc.fr/item/RSMUP_2010__123__91_0} }
Tang, Sufang; Niu, Pengcheng. Morrey estimates for parabolic nondivergence operators of Hörmander type. Rendiconti del Seminario Matematico della Università di Padova, Tome 124 (2010) pp. 91-130. http://gdmltest.u-ga.fr/item/RSMUP_2010__123__91_0/
[1] -estimates for nonvariational hypoelliptic operators with coefficients, Trans. Amer. Math. Soc., 352 (2) (2000), pp. 781--822. | MR 1608289 | Zbl 0935.35037
- ,[2] Schauder estimates for parabolic nondivergence operators of Hörmande type, J. Differential Equations, 234 (1) (2007), pp. 177--245. | MR 2298970 | Zbl 1113.35033
- ,[3] -estimates for uniformly hypoelliptic operators with discontinuous coefficients on homogenous groups, Rend. Sem. Mat. Univ. Politec. Torino, 58 (4) (2000), pp. 389--433. | MR 1962808 | Zbl 1072.35058
- ,[4] Commutators of singular integrals in homogeneous spaces, Boll. Unione Mat. Italiana, 10-B (7) (1996), pp. 843--883. | MR 1430157 | Zbl 0913.42013
- ,[5] -solvability for the Cauchy-Dirichlet problem for parabolic equations with coefficients, Comm. Partial Differential Equations, 18 (9-10) (1993), pp. 1735--1763. | MR 1239929 | Zbl 0816.35045
- ,[6] Commutators of integral operators with positive kernels, Le Mat., XLIX, 49 (1994), pp. 149--168. | MR 1386370 | Zbl 0840.42009
,[7] Espace des functions à variation moyenne bornée sur un espace de nature homogène, C.R. Math. Acad. Sci. Paris, 286 (1978), pp. 139--142. | MR 467176 | Zbl 0368.46037
,[8] Singular integral operators and differential equations, Amer. J. Math., 79 (1957), pp. 901--921. | MR 100768 | Zbl 0081.33502
- ,[9] Elliptic equation of second order and elliptic system, Science Press, Beijing, 1991.
- ,[10] Interior -estimates for nondivergence elliptic equations with discontinuous coefficients, Ricerche Mat., 40 (1991), pp. 149--168. | MR 1191890 | Zbl 0772.35017
- - ,[11] -solvability of the Dirichlet problem for nondivergence form elliptic equations with coefficients, Trans. Amer. Math. Soc., 336 (1993), pp. 841--853. | MR 1088476 | Zbl 0818.35023
- - ,[12] Analyse Harmonique Non-Commutative sur Certains Espaces Homognes, in: Lecture Notes in Mathematics, Vol. 242 (Springer-Verlag, Berlin-Heidelberg-New York, 1971). | MR 499948 | Zbl 0224.43006
- ,[13] Global Morrey regularity of strong solutions to the Dirichlet problem for elliptic equations with discontinuous coefficients, J. Funct. Anal., 166 (2) (1999), pp. 179--196. | MR 1707751 | Zbl 0942.35059
- - ,[14] Interior estimates in Morrey spaces for strong solutions to nondivergence form elliptic equations with discontinuous coefficients, J. Funct. Anal., 112 (2) (1993), pp. 241--256. | MR 1213138 | Zbl 0822.35036
- ,[15] Subelliptic estimates and function spaces on nilpotent Lie groups, Ark. Mat., 13 (2) (1975), pp. 161--207. | MR 494315 | Zbl 0312.35026
,[16] Boundedness of operators in Morrey spaces on homogenous spaces and its application, Acta. Math. Sinica (New Series), 14 (4) (1998), pp. 625--634. | MR 1704904 | Zbl 0916.43006
- - ,[17] Subelliptic eigenvalue problems, in: Proceedings of the Conference on harmonic Analysis in honor of Antoni Zygmund, pp. 590--606, Wadsworth Math. Series, 1981. | MR 730094 | Zbl 0503.35071
- ,[18] Estimates for the complex and analysis on the Heisenberg group, Comm. Pure Appl. Math., 27 (4) (1974), pp. 429--522. | MR 367477 | Zbl 0293.35012
- ,[19] Elliptic partial differential equations of second order, 2nd ed. Springer-Verlag, Berlin, 1983. | MR 737190 | Zbl 0361.35003
- ,[20] Hypoelliptic second order differential equations, Acta Mathematica, 119 (1967), pp. 147--171. | MR 222474 | Zbl 0156.10701
,[21] A mostly elementary proof of Morrey space estimates for elliptic and parabolic equations with coefficients, J. Funct. Anal., 201 (2) (2003), pp. 457--479. | MR 1986696 | Zbl 1107.35030
,[22] Lipschitz functions on spaces of homogeneous type, Adv. Math., 33 (3) (1979), pp. 257--270. | MR 546295 | Zbl 0431.46018
- ,[23] Balls and metrics defined by vector fields I:Basic properties, Acta Math., 155 (1985), pp. 103--147. | MR 793239 | Zbl 0578.32044
- - ,[24] Hypoelliptic differential operators and nilpotent groups, Acta Math., 137 (1976), pp. 247--320. | MR 436223 | Zbl 0346.35030
- ,[25] Fundamental solutions and geometry of sum of squares of vector fields, Invent. Math., 78 (1) (1984), pp. 143--160. | MR 762360 | Zbl 0582.58004
,