Morrey spaces in harmonic analysis

By D. Adams, Jie Xiao. 2012

227 citations recorded by the source corpus.

Through a geometric capacitary analysis based on space dualities, this paper addresses several fundamental aspects of functional analysis and potential theory for the Morrey spaces in harmonic analysis over the Euclidean spaces.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/836d6d6ad2fd1a04820f9fc4f417ec1cf7015927

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In Applied Mathematics

In Computational Theory and Mathematics

In Mathematical Physics

Citations in the corpus

Calderón–Zygmund operators in Morrey spaces (2014, methodology): “But as mentioned in [1] the set of all continuous functions with compact support is a dense subset in ◦ Lp(R n)′.”
Boundedness and compactness characterizations of Cauchy integral commutators on Morrey spaces (2018, background): “For more results on the boundedness of operators on Morrey spaces, we refer the reader to [2, 23, 24, 1, 15].”
The singular integral operator and its commutator on weighted Morrey spaces (2016, background): “The following are proved in [1] or [41, (2.”
Integral operators on analytic Morrey spaces (2013, background): “For example, in Euclidean spaces R, Adams and Xiao studied Morrey spaces by potential theory and Hausdorff capacity in [1] and [2].”
New Characterizations of Besov-Triebel-Lizorkin-Hausdorff Spaces Including Coorbits and Wavelets (2011, methodology): “iao in [16]. We also point out that Adams and Xiao [2] and Dafni and Xiao [15] ﬁrst used the Hausdorﬀ capacity and weights to introduce some new spaces of functions and, very recently, Adams and Xiao [3, 4, 5] gave some new interesting applications of such spaces of functions. Remark 3.11. (i) The B”