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A Growth Behavior of Szegö Type Operators
Department of Mathematics Education, Korea National University of Education, Chungbuk, Korea
- 1 Department of Mathematics Education, Korea National University of Education, Chungbuk, Korea
Advances in Pure Mathematics·Volume 10 (2020)·Pages 492–500·Published 8 September 2020·DOI10.4236/apm.2020.109030
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Abstract
We define new integral operators on the Haydy space similar to Szeg ö projection. We show that these operators map from H p to H 2 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.
KeywordsSzeg&#246ProjectionHausdorff-Young TheoremCoeffcient MultiplierStein Interpolation Theorem
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