Displaying similar documents to “Boundary Value Characterizations for Weighted Hardy Spaces of Harmonic Functions.”

Properties of harmonic conjugates

Paweł Sobolewski (2008)

Annales UMCS, Mathematica

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We give a new proof of Hardy and Littlewood theorem concerning harmonic conjugates of functions u such that ∫D |u(z)|pdA(z) < ∞, 0 < p ≤ 1. We also obtain an inequality for integral means of such harmonic functions u.

Commutators of weighted Hardy operators on Herz-type spaces

Canqin Tang, Feien Xue, Yu Zhou (2011)

Annales Polonici Mathematici

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A sufficient condition for boundedness on Herz-type spaces of the commutator generated by a Lipschitz function and a weighted Hardy operator is obtained.

Hardy spaces for the Laplacian with lower order perturbations

Tomasz Luks (2011)

Studia Mathematica

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We consider Hardy spaces of functions harmonic on smooth domains in Euclidean spaces of dimension greater than two with respect to the Laplacian perturbed by lower order terms. We deal with the gradient and Schrödinger perturbations under appropriate Kato conditions. In this context we show the usual correspondence between the harmonic Hardy spaces and the L p spaces (or the space of finite measures if p = 1) on the boundary. To this end we prove the uniform comparability of the respective...

On the existence of weighted boundary limits of harmonic functions

Yoshihiro Mizuta (1990)

Annales de l'institut Fourier

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We study the existence of tangential boundary limits for harmonic functions in a Lipschitz domain, which belong to Orlicz-Sobolev classes. The exceptional sets appearing in this discussion are evaluated by use of Bessel-type capacities as well as Hausdorff measures.

The factorization of the weighted Hardy space in terms of multilinear Calderón-Zygmund operators

Suixin He, Shuangping Tao (2023)

Czechoslovak Mathematical Journal

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We give a constructive proof of the factorization theorem for the weighted Hardy space in terms of multilinear Calderón-Zygmund operators. The result is also new even in the linear setting. As an application, we obtain the characterization of weighted BMO space via the weighted boundedness of commutators of the multilinear Calderón-Zygmund operators.

Norm inequalities in weighted amalgam

Suket Kumar (2018)

Commentationes Mathematicae Universitatis Carolinae

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Hardy inequalities for the Hardy-type operators are characterized in the amalgam space which involves Banach function space and sequence space.