A T(1) theorem for fractional Sobolev spaces on domains

DOI10.1007/s12220-017-9770-yzbMath1377.42023arXiv1507.03935OpenAlexW3102016083WikidataQ109553715 ScholiaQ109553715MaRDI QIDQ2411217

Martí Prats, Eero Saksman

Publication date: 20 October 2017

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.03935

zbMATH Keywords

Fourier multipliersCalderón-Zygmund operatorsBesovTriebel-Lizorkinfirst-order differences

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

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• A discrete transform and decompositions of distribution spaces
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• A T(P) theorem for Sobolev spaces on domains
• On comparability of integral forms
• Beltrami Equation with Coefficient in Sobolev and Besov Spaces
• Classical Fourier Analysis
• The characterization of functions arising as potentials

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