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The research aims to express the limiting K-space in terms of J-spaces and to solve the reverse problem.

Relationship Between Limiting K ‐Spaces and J ‐Spaces in the Real Interpolation

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The research aims to express the limiting K-space in terms of J-spaces and to solve the reverse problem.
Established conditions for describing limiting K-spaces using J-spaces and slowly varying functions.
Determined equivalent norms in the context of limiting K and J-spaces.
Applied results to obtain density theorems in specified spaces.
Showed that without certain conditions, the problem may lack a solution.
Proved density theorems for Besov space with zero classical smoothness and varying smoothness.
Established significant implications for calculating duals of limiting interpolation spaces.

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Randomized trial explores limiting K-spaces and J-spaces relationships, indicating important implications for interpolation space theory.

Opic et al. (2026) studied this question.

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