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Necessary and sufficient conditions are given for generalized Calderón and Hilbert operators to be bounded from weighted Lebesgue spaces into suitable weighted BMO and Lipschitz spaces. Moreover, we have obtained… Click to show full abstract
Necessary and sufficient conditions are given for generalized Calderón and Hilbert operators to be bounded from weighted Lebesgue spaces into suitable weighted BMO and Lipschitz spaces. Moreover, we have obtained new results on the boundedness of these operators from $$L^{\infty }$$L∞ into BMO, even in the unweighted case for the Hilbert operator. The class of weights involved are close to the doubling and reverse Hölder conditions related to the Muckenhoupt’s classes.
Keywords:
calder hilbert;
lebesgue bmo;
weighted lebesgue;
hilbert operators;
bmo;
hilbert
Journal Title: Mathematische Zeitschrift
Year Published: 2019
Link to full text (if available)
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Journal Title: Mathematische Zeitschrift
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!