engleski

On continuity of linear operators on mixed-norm Lebesgue spaces

The first goal of this work was to study and to find the most general conditions that insure the continuity of linear operators on Lebesgue spaces with mixed norm. Then continuity of pseudo-differential operators are investigated. Techniques involved in the proof are Calderon- Zygmund decomposition of a summable function, and Marcinkiewicz interpolation theorem.

pseudodifferential operators ; mixed-norm Lebesgue spaces

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