5 papers · 1 filter
Derivative Embeddings in Vector-Valued Morrey Spaces
Rishad Shahmurov, Veli Shahmurov
We develop an intermediate-derivative theory for Banach-valued evolution classes with Morrey control in time. Let be Banach spaces, , , an…
A Morrey-to-Lebesgue Equivalence for Convolution Calderón--Zygmund Operators
Rishad Shahmurov, Veli Shahmurov
We prove that, for vector-valued convolution Calderón--Zygmund operators, boundedness on a single nontrivial Morrey space is equivalent to the corresponding global boundednes…
Compact Embeddings of Vector-Valued Morrey Spaces
Rishad Shahmurov, Veli Shahmurov
We develop compactness and defect-of-compactness results for Banach-valued evolution classes with Morrey control in time. For \[ \begin{aligned} \mathbb W_M^{p,λ}(0,T;E_0,E_1) =\{u…
Exact Traces for Vector-Valued Morrey Spaces
Rishad Shahmurov, Veli Shahmurov
Trace spaces determine exactly which initial values are compatible with an evolution class. We identify the exact trace generated by vector-valued Morrey control in time and show t…
Nonlocal Hyperdissipative Perturbations of the Three Dimensional Navier-Stokes System
Veli Shahmurov, Rishad Shahmurov
We study the three-dimensional incompressible Navier-Stokes system on with an additional dissipative nonlocal term \[ \partial_t u + (u\cdot\nabla)u + \nabla p = νΔu…