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We show that some BMO-type spaces are invariant with respect to Hausdorff operators of a special kind (weighted Hardy–Cesaro operators). Moreover, we establish the necessary and sufficient conditions for the… Click to show full abstract
We show that some BMO-type spaces are invariant with respect to Hausdorff operators of a special kind (weighted Hardy–Cesaro operators). Moreover, we establish the necessary and sufficient conditions for the boundedness of such operators in spaces of functions of generalized bounded variation. We study the invariance of Holder–Lipschitz spaces with respect to these operators.
Keywords:
operators special;
bmo type;
type spaces;
lipschitz spaces;
hausdorff operators;
special kind
Journal Title: Russian Mathematics
Year Published: 2020
Link to full text (if available)
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Journal Title: Russian Mathematics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!