15 citations · 15 across the 5 of their papers we have counts for
5 papers
Duals of limiting interpolation spaces
Manvi Grover, Bohumír Opic
The aim of the paper is to establish duals of the limiting real interpolation - and -spaces and , where is a compatible…
Relationship between limiting K-spaces and J-spaces in the real interpolation
Bohumír Opic, Manvi Grover
In the paper Description of the -spaces by means of -spaces and the reverse problem, Math. Nachr. 296 (2023), no. 9, 4002--4031, we have establish conditions under which the…
A unified approach to inequalities for K-functionals and moduli of smoothness
Amiran Gogatishvili, Bohumir Opic, Sergey Tikhonov +1
The paper provides a detailed study of crucial inequalities for smoothness and interpolation characteristics in rearrangement invariant Banach function spaces. We present a unified…
Optimal local embeddings of Besov spaces involving only slowly varying smoothness
Júlio S. Neves, Bohumír Opic
The aim of the paper is to establish (local) optimal embeddings of Besov spaces involving only a slowly varying smoothness . In general, our target spaces are ou…
Compactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces
António Caetano, Amiran Gogatishvili, Bohumír Opic
There are two main aims of the paper. The first one is to extend the criterion for the precompactness of sets in Banach function spaces to the setting of quasi-Banach function spac…