Results 91 to 100 of about 11,627 (244)

On Dirichlet problem in Morrey spaces

Differential and Integral Equations, 1993
The author studies regularity properties of the weak solutions of the Dirichlet problem \[ - {\partial \over {\partial x_ i}} \biggl( a_{ij} {{\partial u} \over {\partial x_ i}} \biggr)- {\partial \over {\partial x_ i}} (b_ i u)= {{\partial f_ i} \over {\partial x_ i}} \quad \text{in } \Omega, \qquad u=0 \quad\text{on } \partial\Omega, \tag{1} \] if ...
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Conformally invariant random fields, Liouville quantum gravity measures, and random Paneitz operators on Riemannian manifolds of even dimension

Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.
Abstract For large classes of even‐dimensional Riemannian manifolds (M,g)$(M,g)$, we construct and analyze conformally invariant random fields. These centered Gaussian fields h=hg$h=h_g$, called co‐polyharmonic Gaussian fields, are characterized by their covariance kernels k which exhibit a precise logarithmic divergence: |k(x,y)−log1d(x,y)|≤C$\big ...
Lorenzo Dello Schiavo, Ronan Herry, Eva Kopfer, Karl‐Theodor Sturm   +3 more
wiley   +1 more source

Wavelets, Sobolev Multipliers, and Application to Schrödinger Type Operators with Nonsmooth Potentials

Abstract and Applied Analysis, 2013
We employ Meyer wavelets to characterize multiplier space Xr,pt(ℝn) without using capacity. Further, we introduce logarithmic Morrey spaces Mr,pt,τ(ℝn) to establish the inclusion relation between Morrey spaces and multiplier spaces. By fractal skills, we
Pengtao Li, Qixiang Yang, Yueping Zhu
doaj   +1 more source

Challenging Ring‐Current Models of the Carrington Storm

Journal of Geophysical Research: Space Physics, Volume 129, Issue 9, September 2024.
Abstract A detailed analysis is made of horizontal‐component geomagnetic‐disturbance data acquired at the Colaba observatory in India recording the Carrington magnetic storm of September 1859. Prior to attaining its maximum absolute value, disturbance at Colaba increased with an e‐folding timescale of 0.46 hr (28 min).
Jeffrey J. Love, Kalevi Mursula
wiley   +1 more source

A Weighted Variant of Riemann-Liouville Fractional Integrals on ℝn

Abstract and Applied Analysis, 2012
We introduce certain type of weighted variant of Riemann-Liouville fractional integral on ℝn and obtain its sharp bounds on the central Morrey and λ-central BMO spaces.
Zun Wei Fu, Shan Zhen Lu, Wen Yuan
doaj   +1 more source

Embedding from Discrete Morrey Spaces to Continuous Morrey Spaces

ITM Web of Conferences
In this paper, we present an embedding from discrete Morrey spaces to continuous Morrey Spaces which can be seen as a refinement of the result in [1]. We obtain the result by using a different norm on discrete Morrey spaces, which is equivalent to the existing norm.
Runtunuwu Yohanes Imanuel, Gunawan Hendra   +1 more
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Decomposition of Hardy–Morrey spaces

Journal of Mathematical Analysis and Applications, 2009
AbstractIn this paper, we establish the decompositions of Hardy–Morrey spaces in terms of atoms concentrated on dyadic cubes, which have the same cancellation properties of the classical Hardy spaces.
Henggeng Wang, Houyu Jia
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Characterizations for the Riesz potential and its commutators on generalized Orlicz-Morrey spaces

Journal of Inequalities and Applications, 2016
In the present paper, we shall give a characterization for the Spanne and Adams type boundedness of the Riesz potential and its commutators on the generalized Orlicz-Morrey spaces, respectively.
Fatih Deringoz, Vagif S Guliyev, Sabir G Hasanov   +2 more
doaj   +1 more source

On the identity of Morrey-Calkin and Schauder-Sobolev spaces [PDF]

, 1956
P. Szeptycki
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