In this paper, we study the connections between three concepts — reverse Hölder inequality for matrix-valued martingales, well-posedness of linear BSDEs with unbounded coefficients, and quadratic BSDE systems. particular, show that a bmo coefficients is well-posed if only stochastic exponential related martingale satisfies inequality. Furthermore, give structural conditions under which these eq...

it is known that solutions locally belong to a slightly higher Sobolev space than assumed a priori. This self-improving property was first observed by Elcrat and Meyers in [ME] (see also [Gi] and [Str]). Their argument is based on reverse Hölder inequalities and a modification of Gehring’s lemma [Ge], which originally was developed to study the higher integrability of the Jacobian of a quasicon...

QCD sum-rules are related to an integral of a hadronic spectral function, and hence must satisfy integral inequalities which follow from positivity of the spectral function. Development of these Hölder inequalities and their application to the Laplace sum-rule for pions lead to a lower bound on the average of the non-strange 2GeV light-quark masses in the MS scheme. The light quark masses are f...

Using a variational approach we study interior regularity for quasiminimizers of (p, q)-Dirichlet integral, as well results up to the boundary, in setting metric space equipped with doubling measure and supporting Poincaré inequality. For regularity, use De Giorgi type conditions show that are locally Hölder continuous they satisfy Harnack inequality, strong maximum principle Liouville’s Theore...

We define a subclass of quasiregular curves, called signed which contains holomorphic curves and mappings. As our main result, we prove growth theorem Bonk—Heinonen type for curves. To obtain that satisfy weak reverse Hölder inequality this implies the result. Further, cohomological value distribution result by using equidistribution.

In this article, a generalized midpoint-type Hermite–Hadamard inequality and Pachpatte-type via new fractional integral operator associated with the Caputo–Fabrizio derivative are presented. Furthermore, identity for differentiable convex functions of first order is proved. Then, taking into account as an auxiliary result assistance Hölder, power-mean, Young, Jensen inequality, some estimations...