Abstract
We establish the Poincaré-type inequalities for the composition of the homotopy operator and the projection operator applied to the nonhomogeneous $A$-harmonic equation in John domains. We also obtain some estimates for the integral of the composite operator with a singular density.
Citation
Shusen Ding. Bing Liu. "Global estimates for singular integrals of the composite operator." Illinois J. Math. 53 (4) 1173 - 1185, Winter 2009. https://doi.org/10.1215/ijm/1290435345
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