Sobolev spaces and functions of Marcinkiewicz type with repeated averaging operations over spheres

Shuichi Sato ()
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Shuichi Sato: Kanazawa University

Partial Differential Equations and Applications, 2022, vol. 3, issue 5, 1-19

Abstract: Abstract We consider the weighted Sobolev spaces with weights of the Muckenhoupt class and characterize the spaces by the square functions of Marcinkiewicz type defined by repeated averaging operations over spheres.

Keywords: Littlewood–Paley functions; Marcinkiewicz integrals; Sobolev spaces; Primary 46E35; 42B25 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s42985-022-00203-1

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