The study of Morrey spaces is motivated by many reasons. Initially, these spaces were introduced in order to understand the regularity of solutions to elliptic partial differential equations [1]. In line with this, many authors study the boundedness of various integral operators on Morrey spaces. In this article, we are interested in their geometric properties, from functional analysis point of view. We show constructively that Morrey spaces are not uniformly non-ℓ 1 for any 2. This result is sharper than earlier results, which showed that Morrey spaces are not uniformly non-square and also not uniformly nonoctahedral. We also discuss the -th James constant ( ) J ( ) and the -th Von Neumann-Jordan constant ( ) NJ ( ) for a Banach space , and obtain that both constants for any Morrey space ℳ (R ) with 1 < < ∞ are equal to .
Representasi suatu deret ke dalam bentuk lain merupakan salah satu kajian yang terdapat di dalam ilmu matematika. Salah satu representasi yang paling umum digunakan adalah representasi deret ke dalam bentuk integral, yang memungkinkan deret tersebut (khususnya deret tak terhingga) dapat ditentukan nilai atau jumlahnya. Banyak cara untuk merepresentasikan deret ke dalam bentuk integral, diantaranya dengan memanfaatkan ekspansi deret Maclaurin, fungsi khusus integral (fungsi gamma dan beta), serta teorema-teorema yang telah ada sebelumnya. Anthony Sofo [9] dalam kajiannya telah menemukan bentuk deret , yang kemudian akan dikaji bagaimana bentuk integral lipat dua dari deret tersebut di dalam paper ini beserta analisis kekonvergenannya.
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