A Growth Behavior of Szegö Type Operators

Jongho Yang

Department of Mathematics Education, Korea National University of Education, Chungbuk, Korea.

DOI: 10.4236/apm.2020.109030                

Abstract

We define new integral operators on the Haydy space similar to Szegö projection. We show that these operators map from H^p to H² for some 1 ≤ p < 2, where the range of p is depending on a growth condition. To prove that, we generalize the Hausdorff-Young Theorem to multi-dimensional case.

Keywords

Szegö Projection, Hausdorff-Young Theorem, Coeffcient Multiplier, Stein Interpolation Theorem

Conflicts of Interest

The author declares no conflicts of interest regarding the publication of this paper.

References

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