Homogeneous Grand Mixed Herz–Morrey Spaces and Their Applications
In this paper, we introduce the homogeneous grand mixed Herz–Morrey spaces <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>M</mi><msubsup><mover accent="true"><mi&g...
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2024-10-01
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| author | Xiaoxi Xia Jiang Zhou |
| author_facet | Xiaoxi Xia Jiang Zhou |
| author_sort | Xiaoxi Xia |
| collection | DOAJ |
| description | In this paper, we introduce the homogeneous grand mixed Herz–Morrey spaces <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>M</mi><msubsup><mover accent="true"><mi>K</mi><mo>˙</mo></mover><mrow><mover accent="true"><mi>q</mi><mo>˜</mo></mover><mo>,</mo><mi>λ</mi></mrow><mrow><mi>α</mi><mo>,</mo><mi>p</mi><mo>)</mo><mo>,</mo><mi>θ</mi></mrow></msubsup><mrow><mo>(</mo><msup><mi mathvariant="double-struck">R</mi><mi>n</mi></msup><mo>)</mo></mrow></mrow></semantics></math></inline-formula> and investigate their fundamental properties. We further explore the boundedness of sublinear operators and fractional-type operators on these spaces, establishing new results that contribute to the broader understanding of their applications. |
| format | Article |
| id | doaj-art-9b33b8adca2a4379a69158d1492d2206 |
| institution | OA Journals |
| issn | 2075-1680 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-9b33b8adca2a4379a69158d1492d22062025-08-20T02:11:04ZengMDPI AGAxioms2075-16802024-10-01131071310.3390/axioms13100713Homogeneous Grand Mixed Herz–Morrey Spaces and Their ApplicationsXiaoxi Xia0Jiang Zhou1College of Mathematics and System Science, Xinjiang University, Urumqi 830046, ChinaCollege of Mathematics and System Science, Xinjiang University, Urumqi 830046, ChinaIn this paper, we introduce the homogeneous grand mixed Herz–Morrey spaces <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>M</mi><msubsup><mover accent="true"><mi>K</mi><mo>˙</mo></mover><mrow><mover accent="true"><mi>q</mi><mo>˜</mo></mover><mo>,</mo><mi>λ</mi></mrow><mrow><mi>α</mi><mo>,</mo><mi>p</mi><mo>)</mo><mo>,</mo><mi>θ</mi></mrow></msubsup><mrow><mo>(</mo><msup><mi mathvariant="double-struck">R</mi><mi>n</mi></msup><mo>)</mo></mrow></mrow></semantics></math></inline-formula> and investigate their fundamental properties. We further explore the boundedness of sublinear operators and fractional-type operators on these spaces, establishing new results that contribute to the broader understanding of their applications.https://www.mdpi.com/2075-1680/13/10/713homogeneous grand mixed Herz–Morrey spacessublinear operatorsfractional-type operators |
| spellingShingle | Xiaoxi Xia Jiang Zhou Homogeneous Grand Mixed Herz–Morrey Spaces and Their Applications Axioms homogeneous grand mixed Herz–Morrey spaces sublinear operators fractional-type operators |
| title | Homogeneous Grand Mixed Herz–Morrey Spaces and Their Applications |
| title_full | Homogeneous Grand Mixed Herz–Morrey Spaces and Their Applications |
| title_fullStr | Homogeneous Grand Mixed Herz–Morrey Spaces and Their Applications |
| title_full_unstemmed | Homogeneous Grand Mixed Herz–Morrey Spaces and Their Applications |
| title_short | Homogeneous Grand Mixed Herz–Morrey Spaces and Their Applications |
| title_sort | homogeneous grand mixed herz morrey spaces and their applications |
| topic | homogeneous grand mixed Herz–Morrey spaces sublinear operators fractional-type operators |
| url | https://www.mdpi.com/2075-1680/13/10/713 |
| work_keys_str_mv | AT xiaoxixia homogeneousgrandmixedherzmorreyspacesandtheirapplications AT jiangzhou homogeneousgrandmixedherzmorreyspacesandtheirapplications |