Pointwise characterization of a class of fractional Orlicz-Sobolev spaces

Hu Jiahao; Sun Hongyan; Sun Yibing

doi:10.12202/j.0476-0301.2025189

Hu Jiahao, Sun Hongyan, Sun Yibing. Pointwise characterization of a class of fractional Orlicz-Sobolev spacesJ. Journal of Beijing Normal University(Natural Science), 2026, 62(3): 274-279. DOI: 10.12202/j.0476-0301.2025189

Citation:

Hu Jiahao, Sun Hongyan, Sun Yibing. Pointwise characterization of a class of fractional Orlicz-Sobolev spacesJ. Journal of Beijing Normal University(Natural Science), 2026, 62(3): 274-279. DOI: 10.12202/j.0476-0301.2025189

Citation:

Hu Jiahao, Sun Hongyan, Sun Yibing. Pointwise characterization of a class of fractional Orlicz-Sobolev spacesJ. Journal of Beijing Normal University(Natural Science), 2026, 62(3): 274-279. DOI: 10.12202/j.0476-0301.2025189

Pointwise characterization of a class of fractional Orlicz-Sobolev spaces

Abstract

Abstract

Using Hajłasz-type upper gradients, pointwise inequalities for fractional Orlicz-Sobolev spaces associated with a modulus of continuity and Young functions are established．

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Pointwise characterization of a class of fractional Orlicz-Sobolev spaces

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