Some Weighted Norm Estimates for the Composition of the Homotopy and Green’s Operator
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We establish theAr(D)-weighted integral inequality for the composition of the HomotopyTand Green’s operatorGon a bounded convex domain and also motivated it to the global domain by the Whitney cover. At the same time, we also obtain some(p,q)-type norm inequalities. Finally, as applications of above results, we obtain the upper bound for theLpnorms ofT(G(u))or(T(G(u)))Bin terms ofLqnorms ofuordu.
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2008 ◽
Vol 255
(7)
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pp. 1713-1723
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1985 ◽
Vol 08
(1)
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pp. 49-79
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2017 ◽
Vol 311
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pp. 306-313
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2003 ◽
Vol 68
(1)
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pp. 81-92
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1985 ◽
Vol 31
(2)
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pp. 181-184
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