Parameter θ-Type Marcinkiewicz Integral on Nonhomogeneous Weighted Generalized Morrey Spaces

Author

Lu, Guanghui

Source

Journal of Function Spaces

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-12-16

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

Let X,d,μ be a nonhomogeneous metric measure space satisfying the upper doubling and geometrically doubling conditions in the sense of Hytönen.

In this setting, the author proves that parameter θ-type Marcinkiewicz integral Mθρ is bounded on the weighted generalized Morrey space Lp,ϕ,τω for p∈1,∞.

Furthermore, the boudedness of Mθρ on weak weighted generalized Morrey space WLp,ϕ,τω is also obtained.

American Psychological Association (APA)

Lu, Guanghui. 2020. Parameter θ-Type Marcinkiewicz Integral on Nonhomogeneous Weighted Generalized Morrey Spaces. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1185406

Modern Language Association (MLA)

Lu, Guanghui. Parameter θ-Type Marcinkiewicz Integral on Nonhomogeneous Weighted Generalized Morrey Spaces. Journal of Function Spaces No. 2020 (2020), pp.1-6.
https://search.emarefa.net/detail/BIM-1185406

American Medical Association (AMA)

Lu, Guanghui. Parameter θ-Type Marcinkiewicz Integral on Nonhomogeneous Weighted Generalized Morrey Spaces. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1185406

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1185406