In this paper we define a new class of continuous fractional wavelet transform (CFrWT) and study its properties in Hardy space Morrey space. The theory developed generalize complement some already existing results.

We consider the sigma-finite measures in the space of vector-valued distributions on the manifold X with characteristic functional

This article is concerned with an obstacle problem for nonlinear subelliptic systems of second order with VMO coefficients. It is shown, based on a modification of A-harmonic approximation argument, that the gradient of weak solution to the corresponding obstacle problem belongs to the Morrey space [Formula: see text].

The weak $L_{1}$-space meets in many areas of mathematics. For example, the conjugate functions Lebesgue integrable belong to $L_{1}$-space. difficulty working with is that not a normed space. Moreover, infinitely differentiable (even continuous) are dense this Due this, theory approximation was produced In present paper, we introduced concept modulus continuity from $L_{1}$-space, studied its ...

Under appropriate assumptions on the $N(\Omega)$-fucntion, locally uniform Morrey estimate is presented in Musielak-Orlicz-Sobolev space. The include a new increasing condition $x$-derivative of Young complementary function $N(\Omega)$-fucntion. conclusion applies to several important nonlinear examples frequently appeared mathematical literature.

This article is devoted to the analysis of a two-space dimensional linear parabolic equation, subject to Cauchy-Dirichlet boundary conditions. The problem is set in a conical type domain and the right hand side term of the equation is taken in a Lebesgue space. One of the main issues of this work is that the domain can possibly be non regular. This work is an extension of the symmetric case stu...

Generalized Riesz products similar to the type which arise as the spectral measure for a rank-one transformation are studied. A condition for the mutual singularity of two such measures is given. As an application, a probability space of transformations is presented in which almost all transformations are singular with respect to Lebesgue measure. AMS Subject Classification: Primary 28D03; Seco...

Theorem 1. Let the countable abelian group G act nonsingularly and aperiodically on Lebesgue space (X, p.). Then for each finite subset A c G and e > 0 3 finite B c G and F tz X with [bF: bEB} disjoint and PKfl meAB a)F] > 1-e. Theorem 2. Every nonsingular action of a countable abelian group on a Lebesgue space is hyperfinite.

In this paper, we obtain bounded criteria on certain weighted Morrey spaces for the commutators generalized by some sublinear integral operators and weighted Lipschitz functions. We also present bounded criteria for commutators generalized by such sublinear integral operators and weighted BMO function on the weighted Morrey spaces. As applications, our results yield the same bounded criteria fo...

in this paper we obtain lower and upper estimates for the essential norms of generalized composition operators from weighted dirichlet spaces or bloch type spaces to $q_k$ type spaces.