We present a construction method for mappings between generalized connections, comprising, e.g., the action of gauge transformations, diffeomorphisms and Weyl transformations. Moreover, criteria for continuity and measure preservation are stated.

The paper presents a survey of results related to continuity properties of dyadic integrals used in solving the problem of recovering, by generalized Fourier formulas, the coefficients of series with respect to multiple Haar and Walsh systems.

"Estimation of the value of a regression function at a point of continuity using a kernel-type estimator is discussed and improvements of the technique by a generalized jackknife estimator are presented. It is shown that the generalized jackknife technique produces estimators with faster bias rates. In a small example it is investigated, if the generalized jackknife method works for all choices...

In conclusion, I may point out that Theorem II may be generalized by a weakening of the hypothesis (d) . (1) In the first place, continuity of [a, g] f with respect to the pair of variables a, /3 may be replaced by upper semi-continuity . This generalization requires no change in the proof . (2) This continuity (or upper semi-continuity) with respect to (a, /3) is used only to show that the set...

Let ? be an open connected subset of the complex plane C and let T be a bounded linear operator on a Hilbert space H. For ? in ? let e the orthogonal projection onto the null-space of T-?I . We discuss the necessary and sufficient conditions for the map ?? to b e continuous on ?. A generalized Gram- Schmidt process is also given.

In this paper the flow behaviour over a number of car bodies is studied. For this purpose the unsteady 2-D incompressible Navier-Stokes equations have been applied. After averaging and nondimensionalizing the equations, the system of equations has been transformed from the Cartesian (x-y) coordinates to a body fitted generalized (-) coordinate. As the flow is incompressible, the density in the ...

By using the Lp(⋅)−Lp(⋅)−boundedness of a maximal operator defined on homogeneous space, it has been shown that B−B−maximal is bounded. In present paper, we aim to bring different approach boundedness generated by generalized translation under continuity assumption p(⋅)p(⋅). It noteworthy mention our weaker than uniform Hölder continuity.

We show local H\"older continuity of quasiminimizers functionals with non-standard (Musielak--Orlicz) growth. Compared previous results, we cover more general minimizing and need fewer assumptions. prove Harnack's inequality a Morrey type estimate for quasiminimizers. Combining this Ekeland's variational principle, obtain $\omega$-minimizers.