S. Pilipovic

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math.FA2025

On a class of Mikhlin multipliers which do not preserve $L^{1}$ -, $L^{\infty}$ -regularity and continuity

Pavel Dimovski, Stevan Pilipovic, Bojan Prangoski

We show that every Fourier multiplier with real-valued and positively homogeneous symbol of order 0, supported in a cone whose dual cone has a nonempty interior and such that the a…

math.FA2024

Topology and regularity for generalized ultradistribution algebras

Stevan Pilipovic, Dragana Risteski, Dimitris Scarpalezos +1

Compiling essential results for non-quasianalytic ultradistribution spaces and Colombeau versions of generalized ultradistribution algebras, we analyze strong $B$ - and strong $R$ -a…

math.FA2024

Extension of Localisation Operators to Ultradistributional Symbols With Super-Exponential Growth

Stevan PilipoviÄ, Bojan Prangoski, ÄorÄe VuÄkoviÄ

In the Gelfand-Shilov setting, the localisation operator $A_{a}^{I ¨ _{1}, I ¨ _{2}}$ is equal to the Weyl operator whose symbol is the convolution of $a$ with the Wigner transform of the win…

On a class of Mikhlin multipliers which do not preserve L1-, L∞-regularity and continuity

Topology and regularity for generalized ultradistribution algebras

Extension of Localisation Operators to Ultradistributional Symbols With Super-Exponential Growth

On a class of Mikhlin multipliers which do not preserve $L^{1}$ -, $L^{\infty}$ -regularity and continuity