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We establish characterization of $$H^1$$H1 Sobolev spaces by certain square functions of Marcinkiewicz type. The square functions are related to the Lusin area integrals. Also, in the one dimensional case,… Click to show full abstract
We establish characterization of $$H^1$$H1 Sobolev spaces by certain square functions of Marcinkiewicz type. The square functions are related to the Lusin area integrals. Also, in the one dimensional case, the non-periodic version of the function of Marcinkiewicz is applied to characterize weighted $$H^1$$H1 Sobolev spaces.
Keywords:
marcinkiewicz type;
characterization sobolev;
sobolev spaces;
square functions;
functions marcinkiewicz
Journal Title: Journal of Fourier Analysis and Applications
Year Published: 2019
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Journal Title: Journal of Fourier Analysis and Applications
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!