Scientific journal paper Q1
Maximal functions and multipliers for subkernels of Toeplitz operators
Maria Cristina Câmara (Câmara, M. C.); C. Carteiro (Carteiro, C.); Cristina Diogo (Diogo, C.);
Journal Title
Results in Mathematics
Year (definitive publication)
2026
Language
English
Country
United Kingdom
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Abstract
We study the relations between maximal functions in a Toeplitz kernel and those in a subkernel of the same Toeplitz operator, as well as the question of how multipliers between Toeplitz kernels act on subkernels. We use those relations to obtain model space representations, in particular isometric model space representations and Hayashi’s representation, for some important classes of Toeplitz kernels.
Acknowledgements
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Keywords
Toeplitz kernels,Maximal functions,Multipliers,Toeplitz subkernels,Model spaces
  • Mathematics - Natural Sciences