@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},
pages = {91--130},
year = {2010},
publisher = {Seminario Matematico of the University of Padua},
volume = {123},
mrnumber = {2683293},
zbl = {1230.35142},
language = {en},
url = {https://www.numdam.org/item/RSMUP_2010__123__91_0/}
}
TY - JOUR AU - Tang, Sufang AU - Niu, Pengcheng TI - Morrey estimates for parabolic nondivergence operators of Hörmander type JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2010 SP - 91 EP - 130 VL - 123 PB - Seminario Matematico of the University of Padua UR - https://www.numdam.org/item/RSMUP_2010__123__91_0/ LA - en ID - RSMUP_2010__123__91_0 ER -
%0 Journal Article %A Tang, Sufang %A Niu, Pengcheng %T Morrey estimates for parabolic nondivergence operators of Hörmander type %J Rendiconti del Seminario Matematico della Università di Padova %D 2010 %P 91-130 %V 123 %I Seminario Matematico of the University of Padua %U https://www.numdam.org/item/RSMUP_2010__123__91_0/ %G en %F 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 123 (2010), pp. 91-130. https://www.numdam.org/item/RSMUP_2010__123__91_0/
[1] - , -estimates for nonvariational hypoelliptic operators with coefficients, Trans. Amer. Math. Soc., 352 (2) (2000), pp. 781--822. | Zbl | MR
[2] - , Schauder estimates for parabolic nondivergence operators of Hörmande type, J. Differential Equations, 234 (1) (2007), pp. 177--245. | Zbl | MR
[3] - , -estimates for uniformly hypoelliptic operators with discontinuous coefficients on homogenous groups, Rend. Sem. Mat. Univ. Politec. Torino, 58 (4) (2000), pp. 389--433. | Zbl | MR
[4] - , Commutators of singular integrals in homogeneous spaces, Boll. Unione Mat. Italiana, 10-B (7) (1996), pp. 843--883. | Zbl | MR
[5] - , -solvability for the Cauchy-Dirichlet problem for parabolic equations with coefficients, Comm. Partial Differential Equations, 18 (9-10) (1993), pp. 1735--1763. | Zbl | MR
[6] , Commutators of integral operators with positive kernels, Le Mat., XLIX, 49 (1994), pp. 149--168. | Zbl | MR
[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. | Zbl | MR
[8] - , Singular integral operators and differential equations, Amer. J. Math., 79 (1957), pp. 901--921. | Zbl | MR
[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. | Zbl | MR
[11] - - , -solvability of the Dirichlet problem for nondivergence form elliptic equations with coefficients, Trans. Amer. Math. Soc., 336 (1993), pp. 841--853. | Zbl | MR
[12] - , Analyse Harmonique Non-Commutative sur Certains Espaces Homognes, in: Lecture Notes in Mathematics, Vol. 242 (Springer-Verlag, Berlin-Heidelberg-New York, 1971). | Zbl | MR
[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. | Zbl | MR
[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. | Zbl | MR
[15] , Subelliptic estimates and function spaces on nilpotent Lie groups, Ark. Mat., 13 (2) (1975), pp. 161--207. | Zbl | MR
[16] - - , Boundedness of operators in Morrey spaces on homogenous spaces and its application, Acta. Math. Sinica (New Series), 14 (4) (1998), pp. 625--634. | Zbl | MR
[17] - , Subelliptic eigenvalue problems, in: Proceedings of the Conference on harmonic Analysis in honor of Antoni Zygmund, pp. 590--606, Wadsworth Math. Series, 1981. | Zbl | MR
[18] - , Estimates for the complex and analysis on the Heisenberg group, Comm. Pure Appl. Math., 27 (4) (1974), pp. 429--522. | Zbl | MR
[19] - , Elliptic partial differential equations of second order, 2nd ed. Springer-Verlag, Berlin, 1983. | Zbl | MR
[20] , Hypoelliptic second order differential equations, Acta Mathematica, 119 (1967), pp. 147--171. | Zbl | MR
[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. | Zbl | MR
[22] - , Lipschitz functions on spaces of homogeneous type, Adv. Math., 33 (3) (1979), pp. 257--270. | Zbl | MR
[23] - - , Balls and metrics defined by vector fields I:Basic properties, Acta Math., 155 (1985), pp. 103--147. | Zbl | MR
[24] - , Hypoelliptic differential operators and nilpotent groups, Acta Math., 137 (1976), pp. 247--320. | Zbl | MR
[25] , Fundamental solutions and geometry of sum of squares of vector fields, Invent. Math., 78 (1) (1984), pp. 143--160. | Zbl | MR





