Fourier series and the maximal operator on the weighted special atom spaces.
On the convergence of Fourier series.
On some spaces of summable sequences and their duals.
The block decomposition of the weighted Besov spaces
Several characterizations for the special atom spaces with applications.
The theory of functions plays an important role in harmonic analysis. Because of this, it turns out that some spaces of analytic functions have been studied extensively, such as H-spaces, Bergman spaces, etc. One of the major insights that has developed in the study of H-spaces is what we call the real atomic characterization of these spaces.
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