Search
Search Results
-
Lebesgue spaces with variable exponent: some applications to the Navier–Stokes equations
In this article we study some problems related to the incompressible 3D Navier–Stokes equations from the point of view of Lebesgue spaces of variable...
-
A General Theorem on Lebesgue Constants
A very general asymptotic type formula is presented for the Lebesgue constants of both Fourier partial sums and linear methods of summability of...
-
Rough Hausdorff operators on Lebesgue spaces with variable exponent
In this paper, we study rough Hausdorff operators on variable exponent Lebesgue spaces in the setting of the Heisenberg group. We prove the...
-
On Boundedness of Fractional Hadamard Integration and Hadamard-Type Integration in Lebesgue Spaces with Mixed Norm
In this paper, we consider the boundedness of integrals of fractional Hadamard integration and Hadamard-type integration (mixed and directional) in...
-
Solenoidal Variable Bochner–Lebesgue Spaces
The aim of this chapter is to adapt the results obtained in Chap. 3 to solenoidal variable...
-
Complex Interpolation of Modified Weighted Grand Lebesgue Spaces
In the present paper, we investigate the interpolation of weighted grand Lebesgue spaces by using the complex methods. We establish some inclusion...
-
Characterizations for boundedness of fractional maximal function commutators in variable Lebesgue spaces on stratified groups
In this paper, the main aim is to consider the map** properties of the maximal or nonlinear commutator for the fractional maximal operator with the...
-
The metric-valued Lebesgue differentiation theorem in measure spaces and its applications
We prove a version of the Lebesgue differentiation theorem for map**s that are defined on a measure space and take values into a metric space, with...
-
Fourier Transforms of Convolutions of Functions in Lebesgue and Lorentz Spaces
AbstractWe present conditions for weighted integrability of the Fourier transforms of convolutions of functions in Lorentz and Lebesgue spaces. We...
-
Lebesgue type decompositions and Radon–Nikodym derivatives for pairs of bounded linear operators
For a pair of bounded linear Hilbert space operators A and B one considers the Lebesgue type decompositions of B with respect to A into an almost...
-
HYPERBOLIC LEBESGUE CONSTANTS IN DIMENSION TWO
We present a very detailed proof of the growth of the Lebesgue constants of hyperbolic Bochner-Riesz means for double Fourier series.
-
On the Generalized Lambert Transform over Lebesgue and Boehmian Spaces
In this paper we study the generalized Lambert transform introduced by Raina and Srivastava (Rev. Tec. Ing. Univ. Zulia, 18(3):301–304, 1995) over...
-
Lebesgue–Stieltjes measures
Defining a measure function on the Borel algebra is a non-trivial task, as it is impractical to explicitly specify the measure of each Borel set due...
-
Properties of Lebesgue Integral and Convergence Theorems
When modeling a stochastic experiment, one may assume that there is a probability space from which a sample is drawn according to a probability...
-
New Gaussian Riesz transforms on variable Lebesgue spaces
We give sufficient conditions on the exponent p : ℝ d → [1, ∞) for the boundedness of the non-centered Gaussian maximal function on variable Lebesgue...
-
-
Vilenkin-Fejér Means and an Approximate Identity in Lebesgue Spaces
Fejér’s theorem shows that if one replaces ordinary summation by Fejér means σn, defined by σn f...
-
Lebesgue Measure
In the previous chapter we discussed differentiation in several variable calculus. It is now only natural to consider the question of integration in...
-
Variable Bochner–Lebesgue Spaces
To begin with, we consider, as a model problem, the following initial-boundary value problem: Let...
-
Lebesgue spaces
The objective of the four chapters composing Part I of this book is to recall (or gently introduce) some elements of functional analysis that will be...