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• W1555293952 abstract "We study Hardy classes on the disk associated to the equation $bard w=alphabar w$ for $alphain L^r$ with $2leq r<infty$. The paper seems to be the first to deal with the case $r=2$. We prove an analog of the M.~Riesz theorem and a topological converse to the Bers similarity principle. Using the connection between pseudo-holomorphic functions and conjugate Beltrami equations, we deduce well-posedness on smooth domains of the Dirichlet problem with weighted $L^p$ boundary data for 2-D isotropic conductivity equations whose coefficients have logarithm in $W^{1,2}$. In particular these are not strictly elliptic. Our results depend on a new multiplier theorem for $W^{1,2}_0$-functions." @default.
• W1555293952 created "2016-06-24" @default.
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• W1555293952 date "2013-09-12" @default.
• W1555293952 modified "2023-09-27" @default.
• W1555293952 title "Pseudo-holomorphic functions at the critical exponent" @default.
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• W1555293952 hasPublicationYear "2013" @default.
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