P. Gurka

collaborators

Showing math.FAShow all

2 papers · 1 filter

math.FA2025

Quantitative Non-Compactness Properties of the Fourier Transform on Optimal Spaces

David E. Edmunds, Petr Gurka, Jan Lang

We establish that the Fourier transform $F : L^{p} (R^{d}) \to L^{p^{'}, p} (R^{d})$ , for $d \in N$ and $1 < p < 2$ , is not strictly singular, thereby confirming t…

math.FA2025

Quantitative analysis of optimal Sobolev-Lorentz embeddings with $I^\pm$ -homogeneous weights

Petr Gurka, Jan Lang, ZdenÄk Mihula

Optimal weighted Sobolev-Lorentz embeddings with homogeneous weights in open convex cones are established, with the exact value of the optimal constant. These embeddings are non-co…

Quantitative Non-Compactness Properties of the Fourier Transform on Optimal Spaces

Quantitative analysis of optimal Sobolev-Lorentz embeddings with I^±-homogeneous weights

Quantitative analysis of optimal Sobolev-Lorentz embeddings with $I^\pm$ -homogeneous weights