On Integral Operators with Operator Valued Kernels
Rishad Shahmurov
TL;DR
This paper investigates the boundedness of integral operators with operator-valued kernels, applying the results to convolution operators and establishing Besov space regularity for Fourier multipliers.
Contribution
It provides new boundedness criteria for operator-valued integral operators and applies these to Fourier multipliers in Besov spaces.
Findings
Lq-Lp boundedness of operator-valued integral operators
Application to convolution operators
Besov space regularity for Fourier multipliers
Abstract
Here Lq-Lp boundedness of integral operator with operator-valued kernels is studied and the main result is applied to convolution operators. Using these results Besov space regularity for Fourier multiplier operator is established.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Mathematical Analysis and Transform Methods · Differential Equations and Boundary Problems