Lorentz transformations are key to relativistic particles. In this work, we construct the Lorentz transformations in the coordinates of the light front, and we will derive from them the well-known time dilation and space ...

Lorentz transformations are key to relativistic particles. In this work, we construct the Lorentz transformations in the coordinates of the light front, and we will derive from them the well-known time dilation and space ...

In this comment we make some clarifications with respect to certain asumptions and demands required by Ricardo Heras in his paper entitled 'Lorentz transformations and the wave equation' (2016 Eur. J. Phys. 37 025603).

We prove the Lorentz-Shimogaki and Boyd theorems for the spaces Λpu(w). As a consequence, we give the complete characterization of the strong boundedness of H on these spaces in terms of some geometric conditions on the ...

It is shown that the extended teleparallel gravitational theories, known as f(T) theories, inherit some on shell local Lorentz invariance associated with the tetrad field defining the spacetime structure. We discuss some ...

We characterize the weak-type boundedness of the Hilbert transform H on weighted Lorentz spaces Lambda_p(u,w) , with p>0, in terms of some geometric conditions on the weights u and w and the weak-type boundedness of the ...

We work on some general extensions of the formalism for theories which preserve the relativity of inertial frames with a nonlinear action of the Lorentz transformations on momentum space. Relativistic particle models ...