A note on continuity of strongly singular Calderón-Zygmund operators in Hardy-Morrey spaces

2022/10/24 by de Almeida, Marcelo, Picon, Tiago, Vasconcelos, Claudio
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2210.13130

Abstract

In this note we address the continuity of strongly singular Calderón-Zygmund operators on Hardy-Morrey spaces HM_q^λ(ℝⁿ), assuming weaker integral conditions on the associated kernel. Important examples that falls into this scope are pseudodifferential operators on the Hörmander classes OpS^m_σ,μ(ℝⁿ) with 0<σ≤ 1, 0 ≤ μ<1, μ≤ σ and m≤ -n(1-σ)/2.

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