Alabalık, Ayşegül ÇelikAlmeida, AlexandreSamko, Stefan2024-04-242024-04-242020Alabalık, A. Ç., Almeida, A. ve Samko, S. (2020). Preservation of certain vanishing properties of generalized Morrey spaces by some classical operators.Mathematical Methods in the Applied Sciences, 43(16), 9375-9386.0170-42141099-1476https://doi.org/10.1002/mma.6235https://hdl.handle.net/11468/14103https://onlinelibrary.wiley.com/doi/10.1002/mma.6235We show that certain vanishing properties defining closed subspaces of generalized Morrey spaces are preserved under the action of various classical operators of harmonic analysis, such as maximal operators, singular-type operators, Hardy operators, and fractional integral operators. Those vanishing subspaces were recently used to deal with the delicate problem on the description of the closure of nice functions in Morrey norm.eninfo:eu-repo/semantics/closedAccessGeneralized morrey spacesHardy operatorsMaximal functionsPotential operatorsSingular-Type operatorsVanishing propertiesArticle431693759386WOS:0005138361000012-s2.0-8507970982910.1002/mma.6235Q1Q1