Some results concerning B-local variable Morrey-Lorentz spaces

Key Points

• The central aim is to evaluate the boundedness of various B-local operators within Morrey-Lorentz spaces.
• Examine B-maximal operators in B-local variable Morrey-Lorentz spaces.
• Analyze B-singular integral operators and B-Riesz potential.
• Apply findings to the Riesz-Bessel transform and B-fractional maximal operator.
• Demonstrated boundedness for B-maximal and B-singular integral operators.
• Established results for B-Riesz potential in the specified function spaces.
• Applied results to higher order Riesz-Bessel transforms leading to new insights in operator theory.