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Volume 34, Issue 4
Boundedness of Marcinkiewicz Integrals in Weighted Variable Exponent Herz-Morrey Spaces

Dan Xiao & Lisheng Shu

DOI: 10.13447/j.1674-5647.2018.04.10

Commun. Math. Res., 34 (2018), pp. 371-382.

Published online: 2019-12

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  • Abstract

In this paper, under natural regularity assumptions on the exponent function, we prove some boundedness results for the functions of Littlewood-Paley, Lusin and Marcinkiewicz on a new class of generalized Herz-Morrey spaces with weight and variable exponent, which essentially extends some known results.

  • Keywords

Marcinkiewicz integral, variable exponent, Muckenhoupt weight, Herz-Morrey space

  • AMS Subject Headings

46E30, 42B35

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

smilexd163@163.com (Dan Xiao)

  • BibTex
  • RIS
  • TXT
@Article{CMR-34-371, author = {Xiao , Dan and Shu , Lisheng}, title = {Boundedness of Marcinkiewicz Integrals in Weighted Variable Exponent Herz-Morrey Spaces}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {34}, number = {4}, pages = {371--382}, abstract = {

In this paper, under natural regularity assumptions on the exponent function, we prove some boundedness results for the functions of Littlewood-Paley, Lusin and Marcinkiewicz on a new class of generalized Herz-Morrey spaces with weight and variable exponent, which essentially extends some known results.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2018.04.10}, url = {http://global-sci.org/intro/article_detail/cmr/13513.html} }
TY - JOUR T1 - Boundedness of Marcinkiewicz Integrals in Weighted Variable Exponent Herz-Morrey Spaces AU - Xiao , Dan AU - Shu , Lisheng JO - Communications in Mathematical Research VL - 4 SP - 371 EP - 382 PY - 2019 DA - 2019/12 SN - 34 DO - http://doi.org/10.13447/j.1674-5647.2018.04.10 UR - https://global-sci.org/intro/article_detail/cmr/13513.html KW - Marcinkiewicz integral, variable exponent, Muckenhoupt weight, Herz-Morrey space AB -

In this paper, under natural regularity assumptions on the exponent function, we prove some boundedness results for the functions of Littlewood-Paley, Lusin and Marcinkiewicz on a new class of generalized Herz-Morrey spaces with weight and variable exponent, which essentially extends some known results.

Xiao , Dan and Shu , Lisheng. (2019). Boundedness of Marcinkiewicz Integrals in Weighted Variable Exponent Herz-Morrey Spaces. Communications in Mathematical Research . 34 (4). 371-382. doi:10.13447/j.1674-5647.2018.04.10
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