Boundedness of the Higher Order Commutators of Marcinkiewicz Integral Operator on Grand Variable Herz-Morrey Spaces

Key Points

• The boundedness of higher order commutators was established for the Marcinkiewicz integral operator, leading to significant implications in functional analysis.
• Key estimates obtained for the Marcinkiewicz fractional operator highlight its behavior in relation to variable order, enhancing understanding of its applicability.
• Investigation conducted on grand variable Herz-Morrey spaces reveals new insights into operator theory and its broader mathematical contexts.
• Findings may enable further research on integrative techniques and their applications across various mathematical domains.