Boundedness of vector-valued sublinear operators on weighted Herz-Morrey spaces with variable exponents

Boundedness of vector-valued sublinear operators on weighted Herz-Morrey spaces with variable exponents

If vector-valued sublinear operators satisfy the size condition and the vector-valued inequality on weighted Lebesgue spaces with variable exponent, then we obtain their boundedness on weighted Herz-Morrey spaces with variable exponents.

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Bibliographische Detailangaben
Veröffentlicht in:Open mathematics (Warsaw, Poland) Poland), 2021-05, Vol.19 (1), p.412-426
Hauptverfasser: Wang, Shengrong, Xu, Jingshi
Format: Artikel
Sprache:eng
Schlagworte:
42B25
42B35
Exponents
Herz-Morrey space
Muckenhoupt weight
Operators
subilinear operator
variable exponent
vector-valued inequality
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Zusammenfassung:If vector-valued sublinear operators satisfy the size condition and the vector-valued inequality on weighted Lebesgue spaces with variable exponent, then we obtain their boundedness on weighted Herz-Morrey spaces with variable exponents.
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2021-0024