Abstract
In this note we address the continuity of strongly singular Calderón-Zygmund operators on Hardy-Morrey spaces \(\mathcal {H}\mathcal {M}_{q}^{\lambda }(\mathbb R^n)\), assuming weaker integral conditions on the associated kernel. Important examples that falls into this scope are pseudodifferential operators on the Hörmander classes \(OpS^{m}_{\sigma ,\mu }(\mathbb R^{n})\) with \(0<\sigma \leq 1\), \(0 \leq \mu <1\), \(\mu \leq \sigma \) and \(m\leq -n(1-\sigma )/2\).
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de Almeida, M., Picon, T., Vasconcelos, C. (2023). A Note on Continuity of Strongly Singular Calderón-Zygmund Operators in Hardy-Morrey Spaces. In: Kähler, U., Reissig, M., Sabadini, I., Vindas, J. (eds) Analysis, Applications, and Computations. ISAAC 2021. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-36375-7_44
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