Article detail · 2012
On the boundedness of the maximal operator and singular integral operators in generalized Morrey spaces
Journal
Mathematica Bohemica- Year
- 2012
- Type
- article
Data source split
- YÖKSİS venue Mathematica Bohemica
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
OpenAlex · English
In the paper we find conditions on the pair $(\omega _1,\omega _2)$ which ensure the boundedness of the maximal operator and the Calderón-Zygmund singular integral operators from one generalized Morrey space $\mathcal {M}_{p,\omega _1}$ to another $\mathcal {M}_{p,\omega _2}$, $1<p<\infty $, and from the space $\mathcal {M}_{1,\omega _1}$ to the weak space $W\mathcal {M}_{1,\omega _2}$. As applications, we get some estimates for uniformly elliptic operators on generalized Morrey spaces.
Topics
Citations
OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.
77 citations
OpenAlex cited_by_count (cache / database)
20 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- Boundedness of Fractional Maximal Operator and Their Higher Order Commutators in Generalized Morrey Spaces on Carnot Groups 2013
- Sublinear operators with rough kernel generated by Calderon-Zygmund operators and their commutators on generalized local Morrey spaces 2015
- Generalized Fractional Integral Operators on Generalized Local Morrey Spaces 2015
- Multilinear commutators of Calderón-Zygmund operator on generalized variable exponent Morrey spaces 2021
- Multilinear commutators of Calderón-Zygmund operator on generalized variable exponent Morrey spaces 2021
- Characterizations for the fractional maximal commutator operator in generalized Morrey spaces on Carnot group 2019
- Characterizations for the commutator of fractional maximal operator in generalized Morrey spaces on Carnot group 2019
- Generalized Hardy–Morrey Spaces 2017
- Marcinkiewicz Integrals with Rough Kernel Associated with Schrodinger Operator on Vanishing Generalized Morrey Spaces (pp.40-54) 2013
- Boundedness of fractional oscillatory integral operators and their commutators on generalized Morrey spaces 2013