Results 61 to 70 of about 4,733,299 (267)

Commutators of the Fractional Hardy Operator on Weighted Variable Herz-Morrey Spaces

Journal of Function Spaces, 2021
In the present paper, our aim is to establish the boundedness of commutators of the fractional Hardy operator and its adjoint operator on weighted Herz-Morrey spaces with variable exponents M
Amjad Hussain, Muhammad Asim, M. Aslam, F. Jarad   +3 more
semanticscholar   +1 more source

Quasilinear Degenerate Evolution Systems Modelling Biofilm Growth: Well‐Posedness and Qualitative Properties

Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 14890-14908, 15 November 2025.
ABSTRACT We analyze nonlinear degenerate coupled partial differential equation (PDE)‐PDE and PDE‐ordinary differential equation (ODE) systems that arise, for example, in the modelling of biofilm growth. One of the equations, describing the evolution of a biomass density, exhibits degenerate and singular diffusion.
K. Mitra, S. Sonner
wiley   +1 more source

On some extrapolation in generalized grand Morrey spaces with applications to PDEs

Electronic Research Archive
Rubio de Francia's extrapolation in generalized grand Morrey spaces is derived. This result is applied to the investigation of the regularity of solutions for the second order partial differential equations with discontinuous coefficients in the ...
Eteri Gordadze, Alexander Meskhi, M. Ragusa   +2 more
semanticscholar   +1 more source

Bilinear $ \theta $-type Calderón-Zygmund operators and its commutators on generalized variable exponent Morrey spaces

AIMS Mathematics, 2022
In this paper, we discuss the boundedness of bilinear $ \theta $-type Calderón-Zygmund operators on the generalized variable exponent Morrey spaces. In addition, the corresponding results of commutators generated by bilinear $ \theta $-type Calderón ...
Bochi Xu
semanticscholar   +1 more source

The three‐dimensional Seiberg–Witten equations for 3/2$3/2$‐spinors: A compactness theorem

Mathematische Nachrichten, Volume 298, Issue 10, Page 3331-3375, October 2025.
Abstract The Rarita‐Schwinger–Seiberg‐Witten (RS–SW) equations are defined similarly to the classical Seiberg–Witten equations, where a geometric non–Dirac‐type operator replaces the Dirac operator called the Rarita–Schwinger operator. In dimension 4, the RS–SW equation was first considered by the second author (Nguyen [J. Geom. Anal. 33(2023), no. 10,
Ahmad Reza Haj Saeedi Sadegh, Minh Lam Nguyen   +1 more
wiley   +1 more source

Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz--Morrey spaces of the third kind

, 2018
In the present paper, we will characterize the boundedness of the generalized fractional integral operators $I_{\rho}$ and the generalized fractional maximal operators $M_{\rho}$ on Orlicz spaces, respectively.
Deringoz, Fatih, Guliyev, Vagif S., Nakai, Eiichi, Sawano, Yoshihiro, Shi, Minglei   +4 more
core   +1 more source

A note on the magnetic Steklov operator on functions

Mathematika, Volume 71, Issue 4, October 2025.
Abstract We consider the magnetic Steklov eigenvalue problem on compact Riemannian manifolds with boundary for generic magnetic potentials and establish various results concerning the spectrum. We provide equivalent characterizations of magnetic Steklov operators which are unitarily equivalent to the classical Steklov operator and study bounds for the ...
Tirumala Chakradhar, Katie Gittins, Georges Habib, Norbert Peyerimhoff   +3 more
wiley   +1 more source

Weighted Boundedness of Certain Sublinear Operators in Generalized Morrey Spaces on Quasi-Metric Measure Spaces Under the Growth Condition

Journal of Fourier Analysis and Applications, 2022
We prove weighted boundedness of Calderón–Zygmund and maximal singular operators in generalized Morrey spaces on quasi-metric measure spaces, in general non-homogeneous, only under the growth condition on the measure, for a certain class of weights ...
N. Samko
semanticscholar   +1 more source

Compactness of Commutators for Riesz Potential on Generalized Morrey Spaces

Mathematics
In this paper, we give the sufficient conditions for the compactness of sets in generalized Morrey spaces Mpw(·). This result is an analogue of the well-known Fréchet–Kolmogorov theorem on the compactness of a set in Lebesgue spaces Lp,p>0.
N. Bokayev, D. Matin, T. Akhazhanov, Aidos Adilkhanov   +3 more
semanticscholar   +1 more source

Talk With Me Outside: Therapists' Experiences of the Therapeutic Relationship in Natural Outdoor Settings

Counselling and Psychotherapy Research, Volume 25, Issue 3, September 2025.
ABSTRACT This qualitative study explores therapists' experiences of the therapeutic relationship when therapy is conducted in natural public spaces, such as parks, footpaths and community gardens. Drawing on therapists' experiences of working outdoors with their clients, the aim was to capture and understand how the therapeutic relationship is impacted
Elaine Moore, Faisal Mahmood
wiley   +1 more source