Necessary Conditions for Vector-valued Operator Inequalities in Harmonic Analysis
نویسندگان
چکیده
Via a random construction we establish necessary conditions for L(l) inequalities for certain families of operators arising in harmonic analysis. In particular we consider dilates of a convolution kernel with compactly supported Fourier transform, vector maximal functions acting on classes of entire functions of exponential type, and a characterization of Sobolev spaces by square functions and pointwise moduli of smoothness.
منابع مشابه
A pr 2 00 5 NECESSARY CONDITIONS FOR VECTOR - VALUED OPERATOR INEQUALITIES IN HARMONIC ANALYSIS
Via a random construction we establish necessary conditions for L(l) inequalities for certain families of operators arising in harmonic analysis. In particular we consider dilates of a convolution kernel with compactly supported Fourier transform, vector maximal functions acting on classes of entire functions of exponential type, and a characterization of Sobolev spaces by square functions and ...
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