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| Hölder,Sobolev,weak-type and BMO estimates in mixed-norm with weights for parabolic equations | |
| 引用本文： | Pablo Raúl Stinga,José L.Torrea.H?lder,Sobolev,weak-type and BMO estimates in mixed-norm with weights for parabolic equations[J].Science China Mathematics,2021,64(1):129-154. |
| 作者姓名： | Pablo Raúl Stinga José L.Torrea |
| 作者单位： | Department of Mathematics;Departamento de Matemáticas |
| 基金项目： | supported by Simons Foundation(Grant No.580911(Stinga));Ministerio de Economía y Competitividad/Fondo Europeo de Desarrollo Regional from Government of Spain(Grant No.MTM2015-66157-C2-1-P(Torrea))。 |
| 摘 要： | We prove weighted mixed-norm Lqt(W2,px)and Lqt(C2,αx)estimates for 1 |
| 关 键 词： | Calderón-Zygmund parabolic singular integrals weak type and BMO estimates representation formulas parabolic equations mixed-norm Sobolev and Schauder estimates |
Hölder,Sobolev, weak-type and BMO estimates in mixed-norm with weights for parabolic equations |
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| Stinga,Pablo Raúl,Torrea, José L..H?lder,Sobolev, weak-type and BMO estimates in mixed-norm with weights for parabolic equations[J].中国科学 数学(英文版),2021,64(1):129-154. | |
| Authors: | Stinga Pablo Raúl Torrea José L |
| Institution: | 1.Department of Mathematics, Iowa State University, Ames, IA, 50011, USA ;2.Departamento de Matemáticas, Universidad Autónoma de Madrid, Madrid, 28049, Spain ; |
| Abstract: | Science China Mathematics - We prove weighted mixed-norm $$L_t^q(W_x^{2,p})$$ and $$L_t^q(C_x^{2,\alpha})$$ estimates for 1 &;lt; p, q &;lt; ∞ and 0 &;lt; α &;lt; 1, weighted... |
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