$L^p$ Regularity of Weighted Szegö Projections on the Unit Disc

preprint2015arXivOpen access

We present a family of weights on the unit disc for which the corresponding weighted Szegö projection operators are irregular on $L^p$ spaces. We further investigate the dual spaces of weighted Hardy spaces corresponding to this family.

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$L^p$ Regularity of Weighted Szegö Projections on the Unit Disc

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LpL^pLp Regularity of Weighted Szegö Projections on the Unit Disc

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$L^p$ Regularity of Weighted Szegö Projections on the Unit Disc