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Fredholm multiplication operators between Holder spaces | ||
Caspian Journal of Mathematical Sciences | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 30 اردیبهشت 1404 | ||
نوع مقاله: Research Articles | ||
شناسه دیجیتال (DOI): 10.22080/cjms.2025.28878.1751 | ||
نویسندگان | ||
Gholamreza Karamali* 1؛ Sajjad Mohammadi2 | ||
1Faculty of Basic Sciences, Shahid Sattari Aeronautical University of Science and Technology, South Mehrabad, Tehran, Iran | ||
2Faculty of basic sciences, shahid Sattari aeronautical university of science and technology, south Mehrabad, Tehran, Iran. | ||
تاریخ دریافت: 02 فروردین 1404، تاریخ بازنگری: 23 اردیبهشت 1404، تاریخ پذیرش: 29 اردیبهشت 1404 | ||
چکیده | ||
Abstract. Let U be an open bounded subset of $R^d$. We aim to investigate the multiplication operator on Hölder space $C^{1,1}(U)$, specifically focusing on Fredholm operators. Our goal is to provide an interpretation of these operators in these spaces and to discuss and prove their properties. In the case where U is a subset of R, we present and prove results regarding these operators. Furthermore, we establish a necessary condition for the Fredholm property of these operators. | ||
کلیدواژهها | ||
Banach space؛ Hölder space؛ Differentiable functions؛ multiplication operator؛ Fredholm operator | ||
آمار تعداد مشاهده مقاله: 20 |