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20132025
most citedCompactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces

15 citations · 15 across the 5 of their papers we have counts for

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math.FA2025

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…

math.FA2025

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…

math.FA2023

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…

math.FA2019

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…

math.FA2013★ 15 cited

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…