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Tang, Lin. Interior h1 Estimates for Parabolic Equations with LMO Coefficients. Canadian journal of mathematics, Tome 62 (2010) no. 1, pp. 202-217. doi: 10.4153/CJM-2010-011-1
@article{10_4153_CJM_2010_011_1,
author = {Tang, Lin},
title = {Interior h1 {Estimates} for {Parabolic} {Equations} with {LMO} {Coefficients}},
journal = {Canadian journal of mathematics},
pages = {202--217},
year = {2010},
volume = {62},
number = {1},
doi = {10.4153/CJM-2010-011-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-011-1/}
}
TY - JOUR AU - Tang, Lin TI - Interior h1 Estimates for Parabolic Equations with LMO Coefficients JO - Canadian journal of mathematics PY - 2010 SP - 202 EP - 217 VL - 62 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-011-1/ DO - 10.4153/CJM-2010-011-1 ID - 10_4153_CJM_2010_011_1 ER -
[1] [1] M., Bramanti and M. C., Cerutti, W1, 2 p solvability for the cauchy-Dirichlet problem for parabolic equations with VMO coefficients. Comm. Partial Differentail Equations 18(1993), no. 9-10, 1735-1763. doi:10.1080/03605309308820991 Google Scholar
[2] [2] A. P., Calderón, An atomic decomposition of distributions in parabolic Hp spaces. Adv. in Math. 25(1977), no. 3, 216-225. doi:10.1016/0001-8708(77)90074-3 Google Scholar
[3] [3] A. P., Calderón and A., Torchinsky, Parabolic maximal functions associated with a distribution. Adv. in Math. 16(1975), 1-64. doi:10.1016/0001-8708(75)90099-7 Google Scholar
[4] [4] A. P., Calderón and A., Torchinsky, Parabolic maximal functions associated with a distribution. II. Adv. in Math. 24(1977), no. 2, 101-171. doi:10.1016/S0001-8708(77)80016-9 Google Scholar
[5] [5] D. C., Chang and S. Y., Li, On the boundedness of multipliers, commutators and the second derivatives of Green's operators on H1 and BMO. Ann. Scuola Norm. Sup. Pisa Cl. Sci. 28(1999), no. 2, 341-356. Google Scholar
[6] [6] E. R., Fabes and Rivière, N., Singular integrals with mixed homogeneity. Studi ka Math. 27(1966), 19-38. Google Scholar
[7] [7] C. L., Fefferman and E. M., Stein, Hp-space of several variables. Acta Math. 46(1972), no. 3-4, 137-193. doi:10.1007/BF02392215 Google Scholar
[8] [8] D., Goldberg, A local version of real Hardy spaces. Duke Math. J. 46(1979), no. 1, 27-42. doi:10.1215/S0012-7094-79-04603-9 Google Scholar
[9] [9] P. W., Jones, Extension theorems for BMO. Indiana Univ. Math. J. 29(1980), 41-66. doi:10.1512/iumj.1980.29.29005 Google Scholar
[10] [10] O. A., Ladyžhenskaya, V. A., Solonnikov, and N Ural'tseva, N., Linear and Quasilinear Equations of Parabolic Type. Translations of Mathematical Monographs 23. American Mathematical Society, Providence, RI, 1968. Google Scholar
[11] [11] G. M., Liberman, Second Order Parabolic Differential Equations. World Scientific, Singapore, 1966. Google Scholar
[12] [12] D., Sarason, Functions of vanishing mean oscillation. Trans. Amer. Math. Soc. 207(1975), 391-405. doi:10.2307/1997184 Google Scholar
[13] [13] L., Softova, Parabolic equations with VMO coefficients in Morrey spaces. J. Differential Equatiopns 51(2001), 1-25. (electronic) Google Scholar
[14] [14] Y., Sun and W., Su, Interior h1-estimates for second order elliptic equations with vanishing LMO coefficientes. J. Funct. Anal. 234(2006), no. 2, 235-260. doi:10.1016/j.jfa.2005.10.004. Google Scholar
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