Abstract
Weak type estimates for genuine Calderón–Zygmund operators are established on the local Morrey spaces associated with ball quasi-Banach function spaces by two different methods. Above all, we obtain weak type estimates for the operator on the local weak Morrey spaces with variable exponents.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 12061069
Funding statement: The research was supported by National Natural Science Foundation of China (12061069) and the Natural Science Foundation Project of Chongqing, China (Grant No. cstc2021jcyj-msxmX0705).
Acknowledgements
The authors would like to thank the reviewers for their valuable advice on a previous version of the article.
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Articles in the same Issue
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- Fractional p-Laplacian elliptic Dirichlet problems
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- Generalized Stockwell transforms: Spherical mean operators and applications
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Articles in the same Issue
- Frontmatter
- Fractional p-Laplacian elliptic Dirichlet problems
- Group invertibility of the sum in rings and its applications
- σ-symmetric amenability of Banach algebras
- Generalized Stockwell transforms: Spherical mean operators and applications
- Existence of positive weak solutions for stationary fractional Laplacian problem by using sub-super solutions
- Capacity in Besov and Triebel–Lizorkin spaces with generalized smoothness
- Existence of solutions for (p(y),q(y))-Laplacian elliptic problem on an exterior domain
- Degeneration phenomenon in linear ordinary differential equations
- Weak type estimates of genuine Calderón–Zygmund operators on the local Morrey spaces associated with ball quasi-Banach function spaces
- Generalized derivation on semiprime and prime Banach algebras
- Weak positive solutions to singular quasilinear elliptic equation
- Constructions and characterizations of mixed reverse-order laws for the Moore–Penrose inverse and group inverse
- Integral inequalities of Ostrowski type for two kinds of s-logarithmically convex functions
- On the polar dualities and star dualities of the quasi Lp -intersection bodies
- New estimates for the Berezin number of Hilbert space operators
- Addendum to On Kuratowski partitions in the Marczewski and Laver structures and Ellentuck topology