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   fredholm multiplication operators between holder spaces  
   
نویسنده karamali gholamreza ,mohammadi sajjad
منبع caspian journal of mathematical sciences - 2025 - دوره : 14 - شماره : 1 - صفحه:116 -124
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.
کلیدواژه banach space ,hölder space ,differentiable functions ,multiplication operator ,fredholm operator
آدرس shahid sattari aeronautical university of science and technology, s, department of basic sciences, iran. , shahid sattari aeronautical university of science and technology, department of basic sciences, iran.
پست الکترونیکی sajad.mohammadi238@sharif.edu
 
     
   
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