The author wish to thank Professor T. Iwaniec for letting her include in this paper Example 4. Maz'ya and R.
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Sharp estimates for commutators of singular integrals via iterations of the Hardy-Littlewood maximal function. Definitions and Notations In order to describe the results of the present paper, it is necessary to introduce some definitions. The first example deals with adjoint solutions which are partial derivatives hXl and hx2 of a very weak solution h e Wlo'c to a particular diagonal divergence type equation, and an interesting relation comes out between regularity results.
We proceed similarly as in . See [7, Theorem 3. Theorem 3.
Then, one has Mk M. In order to prove Proposition 3. Br 0 fails.
We estimate the Hoelder exponent $\alpha$ of solutions to the Beltrami equation $\dbar f=\mu\de f$, where the Beltrami coefficient satisfies $\|\mu\|_\infty<1$. Request PDF on ResearchGate | On planar Beltrami equations and Holder regularity | We provide estimates for the Holder exponent of solutions to the Beltrami.
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Samia Challal , Abdeslem Lyaghfouri. Lucio Boccardo , Alessio Porretta. Lili Li , Chunrong Chen.
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