A5023361745- Advanced Harmonic Analysis Research
- Mathematical Analysis and Transform Methods
- Advanced Banach Space Theory
- Holomorphic and Operator Theory
- Spectral Theory in Mathematical Physics
- Differential Equations and Boundary Problems
- Nonlinear Partial Differential Equations
- Approximation Theory and Sequence Spaces
- Numerical methods in inverse problems
- Advanced Mathematical Physics Problems
- Mathematical functions and polynomials
- Mathematical Approximation and Integration
- Advanced Mathematical Modeling in Engineering
- Mathematical and Theoretical Analysis
- Stability and Controllability of Differential Equations
- Analytic Number Theory Research
- Image and Signal Denoising Methods
- Functional Equations Stability Results
- Fuzzy and Soft Set Theory
- Advanced Numerical Analysis Techniques
- Iterative Methods for Nonlinear Equations
- Advanced Topology and Set Theory
- Advanced Differential Geometry Research
- Fractional Differential Equations Solutions
- Chronic Myeloid Leukemia Treatments
Universidad de La Laguna
2014-2023
National University of Comahue
2013
Observatorio de la Inmigración de Tenerife
2013
Universidad Autónoma de Madrid
2012
Institute of Mathematical Sciences
2012
Universidad Carlos III de Madrid
2012
University of Illinois System
2011
Fundación Ciencias Exactas y Naturales
2006
National University of Mar del Plata
2006
Abstract In this paper we introduceHardy-Lorentz spaces with variable exponents associated dilations in ℝ n . We establishmaximal characterizations and atomic decompositions for our exponent anisotropic Hardy-Lorentz spaces.
In this paper we investigate Riesz transforms Rμ(k) of order k≥1 related to the Bessel operator Δμf(x)=-f”(x)-((2μ+1)/x)f’(x) and extend results Muckenhoupt Stein for conjugate Hankel transform (a one). We obtain that every k≥1, is a principal value strong type (p, p), p∈(1,∞), weak (1,1) with respect measure dλ(x)=x2μ+1 dx in (0,∞). also characterize class weights ω on (0,∞) which maps Lp(ω) into itself L1(ω) L1,∞(ω) boundedly. This wider than $\mathcal{A}_{p}^\mu$ doubling dλ. These...
We discuss two possible definitions for Sobolev spaces associated with ultraspherical expansions.These depend on the notion of higher order derivative.We show that in to have an isomorphism between and potential spaces, derivatives be considered are not iteration first derivatives.Some discussions about Riesz transforms involved.Also we prove maximal operator Poisson integral setting is bounded spaces.
In this paper, we investigate $L^p$-boundedness properties for the one-dimensional higher order Riesz transforms associated with Laguerre operators. We also prove that $k$-th transform is a principal value singular integral operator (modulus constant times of function when $k$ even). To establish our results, exploit new estimate connecting in Hermite and settings dimension one.
In this paper we establish L p -boundedness properties for Laplace type transform spectral multipliers associated with the Schrödinger operator = -∆ + V .We obtain of pointwise representation as principal value integral operators.We also characterize UMD Banach spaces in terms imaginary powers iγ , γ ∈ R, L.
By [Formula: see text] we denote the semigroup of operators generated by Friedrichs extension Schrödinger operator with inverse square potential defined in text]. In this paper, establish weighted text]-inequalities for maximal, variation, oscillation and jump associated text], where denotes Weyl fractional derivative. The range values that works is different when
In this paper we prove that the partial Hankel integral sT(⊘) of ⊘ converges to ⊘, T → ∞, when is in a Lipschitz-Hankel space. We also give sufficient conditions on function order transform hμ(⊘) Lp -space. ∗ Partially supported by Consejería de Educación, Gobierno Autónomo Canarias, Proyecto 967/15-9-95 and DGICYT Grant PB 94-0591 (Spain).