On inclusion properties of discrete Morrey spaces
-
Hendra Gunawan
und
Mochammad Idris
Abstract
We discuss a necessary condition for inclusion relations of weak type discrete Morrey spaces which can be seen as an extension of the results in [H. Gunawan, E. Kikianty and C. Schwanke, Discrete Morrey spaces and their inclusion properties, Math. Nachr. 291 2018, 8–9, 1283–1296] and [D. D. Haroske and L. Skrzypczak, Morrey sequence spaces: Pitt’s theorem and compact embeddings, Constr. Approx. 51 2020, 3, 505–535]. We also prove a proper inclusion from weak type discrete Morrey spaces into discrete Morrey spaces. In addition, we give a necessary condition for this inclusion. Some connections between the inclusion properties of discrete Morrey spaces and those of Morrey spaces are also discussed.
Funding statement: The first and second authors are supported by P3MI–ITB Research and Innovation Program 2018.
Acknowledgements
We thank the anonymous reviewer for his/her corrections and comments.
References
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Artikel in diesem Heft
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Artikel in diesem Heft
- Frontmatter
- The local formula of representation of a solution for a functional differential equation with the mixed initial condition considering perturbations of delays containing in the phase coordinates and in controls
- On a Robin type problem involving 𝑝(𝑥)-Laplacian operator
- On the splitting type of holomorphic vector bundles induced from regular systems of differential equation
- On inclusion properties of discrete Morrey spaces
- Infinitely many solutions for nonlocal elliptic systems in Orlicz–Sobolev spaces
- Critical points approaches to a nonlocal elliptic problem driven by 𝑝(𝑥)-biharmonic operator
- On the maximal operators of weighted Marcinkiewicz type means of two-dimensional Walsh–Fourier series
- Several characterizations of Bessel functions and their applications
- The incomplete exponential pRp (α,β;z) function with applications
- Higher integrability and reverse Hölder inequalities in the limit cases
- When are multiplicative semi-derivations additive?
- On a structure of the set of positive solutions to second-order equations with a super-linear non-linearity
- Modulus of continuity and convergence of subsequences of Vilenkin–Fejér means in martingale Hardy spaces
