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In this paper we calculate three geometric constants, namely the von Neumann-Jordan constant, the James constant, and the Dunkl-Williams constant, for Morrey spaces and discrete Morrey spaces. These constants measure uniformly nonsquareness of the associated spaces. We obtain that the three constants are the same as those for $L^1$ and $L^\infty$ spaces.
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참고문헌 (10)
참고문헌 신청
David R. Adams / 2012 / Morrey spaces in harmonic analysis / Arkiv för Matematik 50(2):201~230
E. Casini / 1986 / About some parameters of normed linear spaces / Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 80(1-2):11~15
C. F. Dunkl / 1964 / A Simple Norm Inequality / The American Mathematical Monthly 71(1):53~54
J. Gao / 1990 / On the geometry of spheres in normed linear spaces / J. Austral. Math. Soc. Ser. A 48(1):101~112
Hendra Gunawan / 2018 / Discrete Morrey spaces and their inclusion properties / Mathematische Nachrichten 291(8-9):1283~1296
E. Casini / 1986 / About some parameters of normed linear spaces / Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 80(1-2):11~15
C. F. Dunkl / 1964 / A Simple Norm Inequality / The American Mathematical Monthly 71(1):53~54
J. Gao / 1990 / On the geometry of spheres in normed linear spaces / J. Austral. Math. Soc. Ser. A 48(1):101~112
Hendra Gunawan / 2018 / Discrete Morrey spaces and their inclusion properties / Mathematische Nachrichten 291(8-9):1283~1296
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