23 citations · 62 across the 19 of their papers we have counts for
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Inclusion between generalized Stummel classes and other function spaces
Nicky K. Tumalun, Denny I. Hakim, Hendra Gunawan
We refine the definition of generalized Stummel classes and study inclusion properties of these classes. We also study the inclusion relation between Stummel classes and other func…
On the topology of n-normed spaces with respect to norms of its quotient spaces
Harmanus Batkunde, Hendra Gunawan
In this paper, we study some topological characteristics of the n-normed spaces. We observe convergence sequences, closed sets, and bounded sets in the n-normed spaces using norms…
Three geometric constants for Morrey spaces
Hendra Gunawan, Eder Kikianty, Yoshihiro Sawano +1
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 Mo…
Generalized Hölder's Inequality in Orlicz Spaces
Ifronika, Al Azhary Masta, Muhammad Nur +1
Orlicz spaces are generalizations of Lebesgue spaces. The sufficient and necessary conditions for generalized Hölder's inequality in Lebesgue spaces and in weak Lebesgue spaces are…
A Note on -Angle between Two Subspaces in a Normed Space
Muhammad Nur, Hendra Gunawan
We introduce a new -norm on a normed space using a semi-inner product on the space. Using the -norm, we propose a formula for the -angle between -dimensional subspa…
Hardy-type and Heisenberg's inequality in Morrey spaces
Hendra Gunawan, Denny Ivanal Hakim, Eiichi Nakai +1
We use the Morrey norm estimate for the imaginary power of the Laplacian to prove an interpolation inequality for the fractional power of the Laplacian on Morrey spaces. We then pr…
The Hardy-Littlewood Maximal Operator on Discrete Morrey Spaces
Hendra Gunawan, Christopher Schwanke
We discuss the Hardy-Littlewood maximal operator on discrete Morrey spaces of arbitrary dimension. In particular, we obtain its boundedness on the discrete Morrey spaces using a di…