Representation of vector measures.
Lipschitz measures and vector-valued Hardy spaces.
Hardy spaces of conjugate temperatures
We define Hardy spaces of pairs of conjugate temperatures on using the equations introduced by Kochneff and Sagher. As in the holomorphic case, the Hilbert transform relates both components. We demonstrate that the boundary distributions of our Hardy spaces of conjugate temperatures coincide with the boundary distributions of Hardy spaces of holomorphic functions.
On the support of Fourier transform of weighted distributions
We give sufficient conditions for the support of the Fourier transform of a certain class of weighted integrable distributions to lie in the region and .
CLO spaces and central maximal operators
We consider central versions of the space studied by Coifman and Rochberg and later by Bennett, as well as some natural relations with a central version of a maximal operator.
Boundedness and compactness of some operators on discrete Morrey spaces
We consider discrete versions of Morrey spaces introduced by Gunawan et al. in papers published in 2018 and 2019. We prove continuity and compactness of multiplication operators and commutators acting on them.
A note on boundary values for the Poisson transform
S'-convolvability with the Poisson kernel in the Euclidean case and the product domain case
We obtain real-variable and complex-variable formulas for the integral of an integrable distribution in the n-dimensional case. These formulas involve specific versions of the Cauchy kernel and the Poisson kernel, namely, the Euclidean version and the product domain version. We interpret the real-variable formulas as integrals of S’-convolutions. We characterize those tempered distribution that are S’-convolvable with the Poisson kernel in the Euclidean case and the product domain case. As an application...
Spaces of bounded λ-central mean oscillation, Morrey spaces, and λ-central Carleson measures.
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