Conformal Composition for Borderline Fractional Sobolev Spaces

Please use this identifier to cite or link to this item: https://dspace.iiti.ac.in/handle/123456789/15735

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DC Field	Value	Language
dc.contributor.author	Sahoo, Swadesh Kumar	en_US
dc.date.accessioned	2025-03-03T17:00:45Z	-
dc.date.available	2025-03-03T17:00:45Z	-
dc.date.issued	2025	-
dc.identifier.citation	Karak, N., Koskela, P., Nandi, D., & Sahoo, S. K. (2025). Conformal Composition for Borderline Fractional Sobolev Spaces. Acta Mathematica Sinica, English Series. https://doi.org/10.1007/s10114-025-3649-9	en_US
dc.identifier.issn	1439-8516	-
dc.identifier.other	EID(2-s2.0-85218139735)	-
dc.identifier.uri	https://doi.org/10.1007/s10114-025-3649-9	-
dc.identifier.uri	https://dspace.iiti.ac.in/handle/123456789/15735	-
dc.description.abstract	We establish a pointwise property for homogeneous fractional Sobolev spaces in domains with non-empty boundary, extending a similar result of Koskela–Yang–Zhou. We use this to show that a conformal map from the unit disk onto a simply connected planar domain induces a bounded composition operator from the borderline homogeneous fractional Sobolev space of the domain into the corresponding space of the unit disk. © Springer-Verlag GmbH Germany & The Editorial Office of AMS 2025.	en_US
dc.language.iso	en	en_US
dc.publisher	Springer Verlag	en_US
dc.source	Acta Mathematica Sinica, English Series	en_US
dc.subject	Besov	en_US
dc.subject	conformal	en_US
dc.subject	Hajłasz–Triebel–Lizorkin hyperbolic	en_US
dc.title	Conformal Composition for Borderline Fractional Sobolev Spaces	en_US
dc.type	Journal Article	en_US
Appears in Collections:	Department of Mathematics

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