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Remarks on L2 boundedness of Littlewood–Paley operators
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Kôzô Yabuta
Published/Copyright:
September 7, 2013
Summary
We give some sufficient and necessary conditions for the L2 boundedness of Littlewood-Paley operator gψ under some conditions on the kernel function ψ, which includes T. Walsh’s result, and recent results by Al-Salman, and Ding, Xue and Yabuta.
Published Online: 2013-09-07
Published in Print: 2013-09
© 2013 Oldenbourg Wissenschaftsverlag GmbH, Rosenheimer Str. 145, 81671 München
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Articles in the same Issue
- Remarks on L2 boundedness of Littlewood–Paley operators
- A note on regularity for then-dimensional H-system assuming logarithmic higher integrability
- Convergence, monotonicity, and inequalities of sequences involving continued powers
- Location of the weighted Fermat–Torricelli point on the K-plane
- Zweier I-convergent sequence spaces defined by Orlicz function
- Solution of the Dirichlet problem for G-minimal graphs with a continuity and approximation method
- Tight wavelet frames on local fields
